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Finding the Third Proportional to 472,107 and 748,705.50

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Solution

The third proportional to 472,107 and 748,705.50 is: 1,187,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,107 : 748,705.50 = 748,705.50 : x
  2. Step 2: Convert to fraction form
    472,107/748,705.50 = 748,705.50/x
  3. Step 3: Cross multiply
    472,107x = 748,705.50 × 748,705.50
  4. Step 4: Simplify right side
    472,107x = 560,559,925,730.25
  5. Step 5: Solve for x
    x = 560,559,925,730.25/472,107
  6. Step 6: Final answer
    x = 1,187,357.79

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.