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Finding the Third Proportional to 384,909 and 597,447

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Solution

The third proportional to 384,909 and 597,447 is: 927,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,909 : 597,447 = 597,447 : x
  2. Step 2: Convert to fraction form
    384,909/597,447 = 597,447/x
  3. Step 3: Cross multiply
    384,909x = 597,447 × 597,447
  4. Step 4: Simplify right side
    384,909x = 356,942,917,809
  5. Step 5: Solve for x
    x = 356,942,917,809/384,909
  6. Step 6: Final answer
    x = 927,343.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.