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Finding the Third Proportional to 437,464.13 and 625,573.13

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Solution

The third proportional to 437,464.13 and 625,573.13 is: 894,568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,464.13 : 625,573.13 = 625,573.13 : x
  2. Step 2: Convert to fraction form
    437,464.13/625,573.13 = 625,573.13/x
  3. Step 3: Cross multiply
    437,464.13x = 625,573.13 × 625,573.13
  4. Step 4: Simplify right side
    437,464.13x = 391,341,734,722.27
  5. Step 5: Solve for x
    x = 391,341,734,722.27/437,464.13
  6. Step 6: Final answer
    x = 894,568.75

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.