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Finding the Third Proportional to 360,515.25 and 565,519.50

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Solution

The third proportional to 360,515.25 and 565,519.50 is: 887,097.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,515.25 : 565,519.50 = 565,519.50 : x
  2. Step 2: Convert to fraction form
    360,515.25/565,519.50 = 565,519.50/x
  3. Step 3: Cross multiply
    360,515.25x = 565,519.50 × 565,519.50
  4. Step 4: Simplify right side
    360,515.25x = 319,812,304,880.25
  5. Step 5: Solve for x
    x = 319,812,304,880.25/360,515.25
  6. Step 6: Final answer
    x = 887,097.85

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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.