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Finding the Third Proportional to 372,002 and 556,539

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Solution

The third proportional to 372,002 and 556,539 is: 832,618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,002 : 556,539 = 556,539 : x
  2. Step 2: Convert to fraction form
    372,002/556,539 = 556,539/x
  3. Step 3: Cross multiply
    372,002x = 556,539 × 556,539
  4. Step 4: Simplify right side
    372,002x = 309,735,658,521
  5. Step 5: Solve for x
    x = 309,735,658,521/372,002
  6. Step 6: Final answer
    x = 832,618.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.