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Finding the Third Proportional to 270,941 and 402,486

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Solution

The third proportional to 270,941 and 402,486 is: 597,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,941 : 402,486 = 402,486 : x
  2. Step 2: Convert to fraction form
    270,941/402,486 = 402,486/x
  3. Step 3: Cross multiply
    270,941x = 402,486 × 402,486
  4. Step 4: Simplify right side
    270,941x = 161,994,980,196
  5. Step 5: Solve for x
    x = 161,994,980,196/270,941
  6. Step 6: Final answer
    x = 597,897.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.