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Finding the Third Proportional to 241,697.50 and 518,386

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Solution

The third proportional to 241,697.50 and 518,386 is: 1,111,819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,697.50 : 518,386 = 518,386 : x
  2. Step 2: Convert to fraction form
    241,697.50/518,386 = 518,386/x
  3. Step 3: Cross multiply
    241,697.50x = 518,386 × 518,386
  4. Step 4: Simplify right side
    241,697.50x = 268,724,044,996
  5. Step 5: Solve for x
    x = 268,724,044,996/241,697.50
  6. Step 6: Final answer
    x = 1,111,819.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.