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Finding the Third Proportional to 534,217.78 and 765,255.09

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Solution

The third proportional to 534,217.78 and 765,255.09 is: 1,096,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,217.78 : 765,255.09 = 765,255.09 : x
  2. Step 2: Convert to fraction form
    534,217.78/765,255.09 = 765,255.09/x
  3. Step 3: Cross multiply
    534,217.78x = 765,255.09 × 765,255.09
  4. Step 4: Simplify right side
    534,217.78x = 585,615,358,510.32
  5. Step 5: Solve for x
    x = 585,615,358,510.32/534,217.78
  6. Step 6: Final answer
    x = 1,096,210.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.