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Finding the Third Proportional to 468,963 and 726,610.50

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Solution

The third proportional to 468,963 and 726,610.50 is: 1,125,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,963 : 726,610.50 = 726,610.50 : x
  2. Step 2: Convert to fraction form
    468,963/726,610.50 = 726,610.50/x
  3. Step 3: Cross multiply
    468,963x = 726,610.50 × 726,610.50
  4. Step 4: Simplify right side
    468,963x = 527,962,818,710.25
  5. Step 5: Solve for x
    x = 527,962,818,710.25/468,963
  6. Step 6: Final answer
    x = 1,125,809.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.