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Finding the Third Proportional to 342,309 and 732,108

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Solution

The third proportional to 342,309 and 732,108 is: 1,565,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,309 : 732,108 = 732,108 : x
  2. Step 2: Convert to fraction form
    342,309/732,108 = 732,108/x
  3. Step 3: Cross multiply
    342,309x = 732,108 × 732,108
  4. Step 4: Simplify right side
    342,309x = 535,982,123,664
  5. Step 5: Solve for x
    x = 535,982,123,664/342,309
  6. Step 6: Final answer
    x = 1,565,784.49

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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.