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Finding the Third Proportional to 578,090,326.50 and 824,088,759

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Solution

The third proportional to 578,090,326.50 and 824,088,759 is: 1,174,768,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,090,326.50 : 824,088,759 = 824,088,759 : x
  2. Step 2: Convert to fraction form
    578,090,326.50/824,088,759 = 824,088,759/x
  3. Step 3: Cross multiply
    578,090,326.50x = 824,088,759 × 824,088,759
  4. Step 4: Simplify right side
    578,090,326.50x = 679,122,282,710,160,128
  5. Step 5: Solve for x
    x = 679,122,282,710,160,128/578,090,326.50
  6. Step 6: Final answer
    x = 1,174,768,460.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.