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Finding the Third Proportional to 590,959.13 and 865,478.25

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Solution

The third proportional to 590,959.13 and 865,478.25 is: 1,267,520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,959.13 : 865,478.25 = 865,478.25 : x
  2. Step 2: Convert to fraction form
    590,959.13/865,478.25 = 865,478.25/x
  3. Step 3: Cross multiply
    590,959.13x = 865,478.25 × 865,478.25
  4. Step 4: Simplify right side
    590,959.13x = 749,052,601,223.06
  5. Step 5: Solve for x
    x = 749,052,601,223.06/590,959.13
  6. Step 6: Final answer
    x = 1,267,520.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.