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Finding the Third Proportional to 349,406 and 527,007

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Solution

The third proportional to 349,406 and 527,007 is: 794,881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,406 : 527,007 = 527,007 : x
  2. Step 2: Convert to fraction form
    349,406/527,007 = 527,007/x
  3. Step 3: Cross multiply
    349,406x = 527,007 × 527,007
  4. Step 4: Simplify right side
    349,406x = 277,736,378,049
  5. Step 5: Solve for x
    x = 277,736,378,049/349,406
  6. Step 6: Final answer
    x = 794,881.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.