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Finding the Third Proportional to 506,537 and 781,736

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Solution

The third proportional to 506,537 and 781,736 is: 1,206,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,537 : 781,736 = 781,736 : x
  2. Step 2: Convert to fraction form
    506,537/781,736 = 781,736/x
  3. Step 3: Cross multiply
    506,537x = 781,736 × 781,736
  4. Step 4: Simplify right side
    506,537x = 611,111,173,696
  5. Step 5: Solve for x
    x = 611,111,173,696/506,537
  6. Step 6: Final answer
    x = 1,206,449.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.