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Finding the Third Proportional to 403,789.22 and 625,535.16

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Solution

The third proportional to 403,789.22 and 625,535.16 is: 969,055.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,789.22 : 625,535.16 = 625,535.16 : x
  2. Step 2: Convert to fraction form
    403,789.22/625,535.16 = 625,535.16/x
  3. Step 3: Cross multiply
    403,789.22x = 625,535.16 × 625,535.16
  4. Step 4: Simplify right side
    403,789.22x = 391,294,231,704.71
  5. Step 5: Solve for x
    x = 391,294,231,704.71/403,789.22
  6. Step 6: Final answer
    x = 969,055.67

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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.