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Finding the Third Proportional to 331,611.47 and 710,539.59

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Solution

The third proportional to 331,611.47 and 710,539.59 is: 1,522,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,611.47 : 710,539.59 = 710,539.59 : x
  2. Step 2: Convert to fraction form
    331,611.47/710,539.59 = 710,539.59/x
  3. Step 3: Cross multiply
    331,611.47x = 710,539.59 × 710,539.59
  4. Step 4: Simplify right side
    331,611.47x = 504,866,514,286.42
  5. Step 5: Solve for x
    x = 504,866,514,286.42/331,611.47
  6. Step 6: Final answer
    x = 1,522,463.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.