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Finding the Third Proportional to 367,429 and 787,347

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Solution

The third proportional to 367,429 and 787,347 is: 1,687,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,429 : 787,347 = 787,347 : x
  2. Step 2: Convert to fraction form
    367,429/787,347 = 787,347/x
  3. Step 3: Cross multiply
    367,429x = 787,347 × 787,347
  4. Step 4: Simplify right side
    367,429x = 619,915,298,409
  5. Step 5: Solve for x
    x = 619,915,298,409/367,429
  6. Step 6: Final answer
    x = 1,687,170.31

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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.