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Finding the Third Proportional to 338,657 and 740,282

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Solution

The third proportional to 338,657 and 740,282 is: 1,618,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,657 : 740,282 = 740,282 : x
  2. Step 2: Convert to fraction form
    338,657/740,282 = 740,282/x
  3. Step 3: Cross multiply
    338,657x = 740,282 × 740,282
  4. Step 4: Simplify right side
    338,657x = 548,017,439,524
  5. Step 5: Solve for x
    x = 548,017,439,524/338,657
  6. Step 6: Final answer
    x = 1,618,207.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.