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Finding the Third Proportional to 360,524.25 and 565,535.25

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Solution

The third proportional to 360,524.25 and 565,535.25 is: 887,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,524.25 : 565,535.25 = 565,535.25 : x
  2. Step 2: Convert to fraction form
    360,524.25/565,535.25 = 565,535.25/x
  3. Step 3: Cross multiply
    360,524.25x = 565,535.25 × 565,535.25
  4. Step 4: Simplify right side
    360,524.25x = 319,830,118,992.56
  5. Step 5: Solve for x
    x = 319,830,118,992.56/360,524.25
  6. Step 6: Final answer
    x = 887,125.12

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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.