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Finding the Third Proportional to 334,644.50 and 652,475

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Solution

The third proportional to 334,644.50 and 652,475 is: 1,272,166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,644.50 : 652,475 = 652,475 : x
  2. Step 2: Convert to fraction form
    334,644.50/652,475 = 652,475/x
  3. Step 3: Cross multiply
    334,644.50x = 652,475 × 652,475
  4. Step 4: Simplify right side
    334,644.50x = 425,723,625,625
  5. Step 5: Solve for x
    x = 425,723,625,625/334,644.50
  6. Step 6: Final answer
    x = 1,272,166.81

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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.