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Finding the Third Proportional to 367,062 and 808,624

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Solution

The third proportional to 367,062 and 808,624 is: 1,781,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,062 : 808,624 = 808,624 : x
  2. Step 2: Convert to fraction form
    367,062/808,624 = 808,624/x
  3. Step 3: Cross multiply
    367,062x = 808,624 × 808,624
  4. Step 4: Simplify right side
    367,062x = 653,872,773,376
  5. Step 5: Solve for x
    x = 653,872,773,376/367,062
  6. Step 6: Final answer
    x = 1,781,368.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.