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Finding the Third Proportional to 360,535 and 565,551

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Solution

The third proportional to 360,535 and 565,551 is: 887,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,535 : 565,551 = 565,551 : x
  2. Step 2: Convert to fraction form
    360,535/565,551 = 565,551/x
  3. Step 3: Cross multiply
    360,535x = 565,551 × 565,551
  4. Step 4: Simplify right side
    360,535x = 319,847,933,601
  5. Step 5: Solve for x
    x = 319,847,933,601/360,535
  6. Step 6: Final answer
    x = 887,148.08

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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.