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Finding the Third Proportional to 437,946.75 and 747,726.19

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Solution

The third proportional to 437,946.75 and 747,726.19 is: 1,276,626.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,946.75 : 747,726.19 = 747,726.19 : x
  2. Step 2: Convert to fraction form
    437,946.75/747,726.19 = 747,726.19/x
  3. Step 3: Cross multiply
    437,946.75x = 747,726.19 × 747,726.19
  4. Step 4: Simplify right side
    437,946.75x = 559,094,451,473.29
  5. Step 5: Solve for x
    x = 559,094,451,473.29/437,946.75
  6. Step 6: Final answer
    x = 1,276,626.56

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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.