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Finding the Third Proportional to 338,259 and 727,548

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Solution

The third proportional to 338,259 and 727,548 is: 1,564,854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,259 : 727,548 = 727,548 : x
  2. Step 2: Convert to fraction form
    338,259/727,548 = 727,548/x
  3. Step 3: Cross multiply
    338,259x = 727,548 × 727,548
  4. Step 4: Simplify right side
    338,259x = 529,326,092,304
  5. Step 5: Solve for x
    x = 529,326,092,304/338,259
  6. Step 6: Final answer
    x = 1,564,854.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.