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Finding the Third Proportional to 466,752 and 724,128

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Solution

The third proportional to 466,752 and 724,128 is: 1,123,426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,752 : 724,128 = 724,128 : x
  2. Step 2: Convert to fraction form
    466,752/724,128 = 724,128/x
  3. Step 3: Cross multiply
    466,752x = 724,128 × 724,128
  4. Step 4: Simplify right side
    466,752x = 524,361,360,384
  5. Step 5: Solve for x
    x = 524,361,360,384/466,752
  6. Step 6: Final answer
    x = 1,123,426.06

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Why These Related Problems?

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