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Finding the Third Proportional to 247,091.50 and 541,460

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Solution

The third proportional to 247,091.50 and 541,460 is: 1,186,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,091.50 : 541,460 = 541,460 : x
  2. Step 2: Convert to fraction form
    247,091.50/541,460 = 541,460/x
  3. Step 3: Cross multiply
    247,091.50x = 541,460 × 541,460
  4. Step 4: Simplify right side
    247,091.50x = 293,178,931,600
  5. Step 5: Solve for x
    x = 293,178,931,600/247,091.50
  6. Step 6: Final answer
    x = 1,186,519.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.