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Finding the Third Proportional to 367,047 and 808,597

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Solution

The third proportional to 367,047 and 808,597 is: 1,781,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,047 : 808,597 = 808,597 : x
  2. Step 2: Convert to fraction form
    367,047/808,597 = 808,597/x
  3. Step 3: Cross multiply
    367,047x = 808,597 × 808,597
  4. Step 4: Simplify right side
    367,047x = 653,829,108,409
  5. Step 5: Solve for x
    x = 653,829,108,409/367,047
  6. Step 6: Final answer
    x = 1,781,322.58

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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.