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Finding the Third Proportional to 607,958.16 and 932,542.88

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Solution

The third proportional to 607,958.16 and 932,542.88 is: 1,430,421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,958.16 : 932,542.88 = 932,542.88 : x
  2. Step 2: Convert to fraction form
    607,958.16/932,542.88 = 932,542.88/x
  3. Step 3: Cross multiply
    607,958.16x = 932,542.88 × 932,542.88
  4. Step 4: Simplify right side
    607,958.16x = 869,636,213,713.27
  5. Step 5: Solve for x
    x = 869,636,213,713.27/607,958.16
  6. Step 6: Final answer
    x = 1,430,421.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.