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Finding the Third Proportional to 328,098 and 506,687

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Solution

The third proportional to 328,098 and 506,687 is: 782,484.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,098 : 506,687 = 506,687 : x
  2. Step 2: Convert to fraction form
    328,098/506,687 = 506,687/x
  3. Step 3: Cross multiply
    328,098x = 506,687 × 506,687
  4. Step 4: Simplify right side
    328,098x = 256,731,715,969
  5. Step 5: Solve for x
    x = 256,731,715,969/328,098
  6. Step 6: Final answer
    x = 782,484.86

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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.