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Finding the Third Proportional to 578,292,108.75 and 880,997,239.13

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Solution

The third proportional to 578,292,108.75 and 880,997,239.13 is: 1,342,152,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,292,108.75 : 880,997,239.13 = 880,997,239.13 : x
  2. Step 2: Convert to fraction form
    578,292,108.75/880,997,239.13 = 880,997,239.13/x
  3. Step 3: Cross multiply
    578,292,108.75x = 880,997,239.13 × 880,997,239.13
  4. Step 4: Simplify right side
    578,292,108.75x = 776,156,135,345,872,384
  5. Step 5: Solve for x
    x = 776,156,135,345,872,384/578,292,108.75
  6. Step 6: Final answer
    x = 1,342,152,389.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.