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Finding the Third Proportional to 468,634 and 726,255

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Solution

The third proportional to 468,634 and 726,255 is: 1,125,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,634 : 726,255 = 726,255 : x
  2. Step 2: Convert to fraction form
    468,634/726,255 = 726,255/x
  3. Step 3: Cross multiply
    468,634x = 726,255 × 726,255
  4. Step 4: Simplify right side
    468,634x = 527,446,325,025
  5. Step 5: Solve for x
    x = 527,446,325,025/468,634
  6. Step 6: Final answer
    x = 1,125,497.35

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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.