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Finding the Third Proportional to 493,432 and 655,988

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Solution

The third proportional to 493,432 and 655,988 is: 872,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,432 : 655,988 = 655,988 : x
  2. Step 2: Convert to fraction form
    493,432/655,988 = 655,988/x
  3. Step 3: Cross multiply
    493,432x = 655,988 × 655,988
  4. Step 4: Simplify right side
    493,432x = 430,320,256,144
  5. Step 5: Solve for x
    x = 430,320,256,144/493,432
  6. Step 6: Final answer
    x = 872,096.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.