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Finding the Third Proportional to 360,548 and 565,567

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Solution

The third proportional to 360,548 and 565,567 is: 887,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,548 : 565,567 = 565,567 : x
  2. Step 2: Convert to fraction form
    360,548/565,567 = 565,567/x
  3. Step 3: Cross multiply
    360,548x = 565,567 × 565,567
  4. Step 4: Simplify right side
    360,548x = 319,866,031,489
  5. Step 5: Solve for x
    x = 319,866,031,489/360,548
  6. Step 6: Final answer
    x = 887,166.29

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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.