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Finding the Third Proportional to 367,060 and 493,998

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Solution

The third proportional to 367,060 and 493,998 is: 664,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,060 : 493,998 = 493,998 : x
  2. Step 2: Convert to fraction form
    367,060/493,998 = 493,998/x
  3. Step 3: Cross multiply
    367,060x = 493,998 × 493,998
  4. Step 4: Simplify right side
    367,060x = 244,034,024,004
  5. Step 5: Solve for x
    x = 244,034,024,004/367,060
  6. Step 6: Final answer
    x = 664,834.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.