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Finding the Third Proportional to 360,543 and 565,562

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Solution

The third proportional to 360,543 and 565,562 is: 887,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,543 : 565,562 = 565,562 : x
  2. Step 2: Convert to fraction form
    360,543/565,562 = 565,562/x
  3. Step 3: Cross multiply
    360,543x = 565,562 × 565,562
  4. Step 4: Simplify right side
    360,543x = 319,860,375,844
  5. Step 5: Solve for x
    x = 319,860,375,844/360,543
  6. Step 6: Final answer
    x = 887,162.91

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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.