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Finding the Third Proportional to 360,545 and 565,566

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Solution

The third proportional to 360,545 and 565,566 is: 887,170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,545 : 565,566 = 565,566 : x
  2. Step 2: Convert to fraction form
    360,545/565,566 = 565,566/x
  3. Step 3: Cross multiply
    360,545x = 565,566 × 565,566
  4. Step 4: Simplify right side
    360,545x = 319,864,900,356
  5. Step 5: Solve for x
    x = 319,864,900,356/360,545
  6. Step 6: Final answer
    x = 887,170.53

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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.