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Finding the Third Proportional to 266,494 and 410,032

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Solution

The third proportional to 266,494 and 410,032 is: 630,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,494 : 410,032 = 410,032 : x
  2. Step 2: Convert to fraction form
    266,494/410,032 = 410,032/x
  3. Step 3: Cross multiply
    266,494x = 410,032 × 410,032
  4. Step 4: Simplify right side
    266,494x = 168,126,241,024
  5. Step 5: Solve for x
    x = 168,126,241,024/266,494
  6. Step 6: Final answer
    x = 630,881.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.