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Finding the Third Proportional to 537,988.50 and 752,230.69

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Solution

The third proportional to 537,988.50 and 752,230.69 is: 1,051,790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,988.50 : 752,230.69 = 752,230.69 : x
  2. Step 2: Convert to fraction form
    537,988.50/752,230.69 = 752,230.69/x
  3. Step 3: Cross multiply
    537,988.50x = 752,230.69 × 752,230.69
  4. Step 4: Simplify right side
    537,988.50x = 565,851,007,216.72
  5. Step 5: Solve for x
    x = 565,851,007,216.72/537,988.50
  6. Step 6: Final answer
    x = 1,051,790.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.