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Finding the Third Proportional to 344,865 and 532,059

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Solution

The third proportional to 344,865 and 532,059 is: 820,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,865 : 532,059 = 532,059 : x
  2. Step 2: Convert to fraction form
    344,865/532,059 = 532,059/x
  3. Step 3: Cross multiply
    344,865x = 532,059 × 532,059
  4. Step 4: Simplify right side
    344,865x = 283,086,779,481
  5. Step 5: Solve for x
    x = 283,086,779,481/344,865
  6. Step 6: Final answer
    x = 820,862.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.