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Finding the Third Proportional to 532,012.50 and 731,571.75

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Solution

The third proportional to 532,012.50 and 731,571.75 is: 1,005,986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,012.50 : 731,571.75 = 731,571.75 : x
  2. Step 2: Convert to fraction form
    532,012.50/731,571.75 = 731,571.75/x
  3. Step 3: Cross multiply
    532,012.50x = 731,571.75 × 731,571.75
  4. Step 4: Simplify right side
    532,012.50x = 535,197,225,398.06
  5. Step 5: Solve for x
    x = 535,197,225,398.06/532,012.50
  6. Step 6: Final answer
    x = 1,005,986.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.