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Finding the Third Proportional to 420,438 and 630,042

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Solution

The third proportional to 420,438 and 630,042 is: 944,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,438 : 630,042 = 630,042 : x
  2. Step 2: Convert to fraction form
    420,438/630,042 = 630,042/x
  3. Step 3: Cross multiply
    420,438x = 630,042 × 630,042
  4. Step 4: Simplify right side
    420,438x = 396,952,921,764
  5. Step 5: Solve for x
    x = 396,952,921,764/420,438
  6. Step 6: Final answer
    x = 944,141.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.