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Finding the Third Proportional to 360,531 and 565,544.25

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Solution

The third proportional to 360,531 and 565,544.25 is: 887,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,531 : 565,544.25 = 565,544.25 : x
  2. Step 2: Convert to fraction form
    360,531/565,544.25 = 565,544.25/x
  3. Step 3: Cross multiply
    360,531x = 565,544.25 × 565,544.25
  4. Step 4: Simplify right side
    360,531x = 319,840,298,708.06
  5. Step 5: Solve for x
    x = 319,840,298,708.06/360,531
  6. Step 6: Final answer
    x = 887,136.75

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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.