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Finding the Third Proportional to 349,327.50 and 527,313

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Solution

The third proportional to 349,327.50 and 527,313 is: 795,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,327.50 : 527,313 = 527,313 : x
  2. Step 2: Convert to fraction form
    349,327.50/527,313 = 527,313/x
  3. Step 3: Cross multiply
    349,327.50x = 527,313 × 527,313
  4. Step 4: Simplify right side
    349,327.50x = 278,058,999,969
  5. Step 5: Solve for x
    x = 278,058,999,969/349,327.50
  6. Step 6: Final answer
    x = 795,983.71

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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.