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Finding the Third Proportional to 372,447 and 503,002

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Solution

The third proportional to 372,447 and 503,002 is: 679,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,447 : 503,002 = 503,002 : x
  2. Step 2: Convert to fraction form
    372,447/503,002 = 503,002/x
  3. Step 3: Cross multiply
    372,447x = 503,002 × 503,002
  4. Step 4: Simplify right side
    372,447x = 253,011,012,004
  5. Step 5: Solve for x
    x = 253,011,012,004/372,447
  6. Step 6: Final answer
    x = 679,320.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.