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Finding the Third Proportional to 322,539.47 and 512,411.06

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Solution

The third proportional to 322,539.47 and 512,411.06 is: 814,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,539.47 : 512,411.06 = 512,411.06 : x
  2. Step 2: Convert to fraction form
    322,539.47/512,411.06 = 512,411.06/x
  3. Step 3: Cross multiply
    322,539.47x = 512,411.06 × 512,411.06
  4. Step 4: Simplify right side
    322,539.47x = 262,565,096,972.38
  5. Step 5: Solve for x
    x = 262,565,096,972.38/322,539.47
  6. Step 6: Final answer
    x = 814,055.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.