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Finding the Third Proportional to 272,290.50 and 731,574

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Solution

The third proportional to 272,290.50 and 731,574 is: 1,965,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,290.50 : 731,574 = 731,574 : x
  2. Step 2: Convert to fraction form
    272,290.50/731,574 = 731,574/x
  3. Step 3: Cross multiply
    272,290.50x = 731,574 × 731,574
  4. Step 4: Simplify right side
    272,290.50x = 535,200,517,476
  5. Step 5: Solve for x
    x = 535,200,517,476/272,290.50
  6. Step 6: Final answer
    x = 1,965,549.73

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.