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Finding the Third Proportional to 356,940 and 574,002

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Solution

The third proportional to 356,940 and 574,002 is: 923,063.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,940 : 574,002 = 574,002 : x
  2. Step 2: Convert to fraction form
    356,940/574,002 = 574,002/x
  3. Step 3: Cross multiply
    356,940x = 574,002 × 574,002
  4. Step 4: Simplify right side
    356,940x = 329,478,296,004
  5. Step 5: Solve for x
    x = 329,478,296,004/356,940
  6. Step 6: Final answer
    x = 923,063.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.