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Finding the Third Proportional to 580,252.50 and 1,261,386

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Solution

The third proportional to 580,252.50 and 1,261,386 is: 2,742,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,252.50 : 1,261,386 = 1,261,386 : x
  2. Step 2: Convert to fraction form
    580,252.50/1,261,386 = 1,261,386/x
  3. Step 3: Cross multiply
    580,252.50x = 1,261,386 × 1,261,386
  4. Step 4: Simplify right side
    580,252.50x = 1,591,094,640,996
  5. Step 5: Solve for x
    x = 1,591,094,640,996/580,252.50
  6. Step 6: Final answer
    x = 2,742,072.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.