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Finding the Third Proportional to 367,047 and 808,596

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Solution

The third proportional to 367,047 and 808,596 is: 1,781,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,047 : 808,596 = 808,596 : x
  2. Step 2: Convert to fraction form
    367,047/808,596 = 808,596/x
  3. Step 3: Cross multiply
    367,047x = 808,596 × 808,596
  4. Step 4: Simplify right side
    367,047x = 653,827,491,216
  5. Step 5: Solve for x
    x = 653,827,491,216/367,047
  6. Step 6: Final answer
    x = 1,781,318.17

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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.