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Finding the Third Proportional to 339,216 and 527,502

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Solution

The third proportional to 339,216 and 527,502 is: 820,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,216 : 527,502 = 527,502 : x
  2. Step 2: Convert to fraction form
    339,216/527,502 = 527,502/x
  3. Step 3: Cross multiply
    339,216x = 527,502 × 527,502
  4. Step 4: Simplify right side
    339,216x = 278,258,360,004
  5. Step 5: Solve for x
    x = 278,258,360,004/339,216
  6. Step 6: Final answer
    x = 820,298.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.