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Finding the Third Proportional to 360,624 and 565,692

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Solution

The third proportional to 360,624 and 565,692 is: 887,371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,624 : 565,692 = 565,692 : x
  2. Step 2: Convert to fraction form
    360,624/565,692 = 565,692/x
  3. Step 3: Cross multiply
    360,624x = 565,692 × 565,692
  4. Step 4: Simplify right side
    360,624x = 320,007,438,864
  5. Step 5: Solve for x
    x = 320,007,438,864/360,624
  6. Step 6: Final answer
    x = 887,371.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.