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Finding the Third Proportional to 334,662 and 652,509

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Solution

The third proportional to 334,662 and 652,509 is: 1,272,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,662 : 652,509 = 652,509 : x
  2. Step 2: Convert to fraction form
    334,662/652,509 = 652,509/x
  3. Step 3: Cross multiply
    334,662x = 652,509 × 652,509
  4. Step 4: Simplify right side
    334,662x = 425,767,995,081
  5. Step 5: Solve for x
    x = 425,767,995,081/334,662
  6. Step 6: Final answer
    x = 1,272,232.87

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.