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Finding the Third Proportional to 329,484 and 723,120

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Solution

The third proportional to 329,484 and 723,120 is: 1,587,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,484 : 723,120 = 723,120 : x
  2. Step 2: Convert to fraction form
    329,484/723,120 = 723,120/x
  3. Step 3: Cross multiply
    329,484x = 723,120 × 723,120
  4. Step 4: Simplify right side
    329,484x = 522,902,534,400
  5. Step 5: Solve for x
    x = 522,902,534,400/329,484
  6. Step 6: Final answer
    x = 1,587,034.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.