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Finding the Third Proportional to 261,612.28 and 534,319.03

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Solution

The third proportional to 261,612.28 and 534,319.03 is: 1,091,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,612.28 : 534,319.03 = 534,319.03 : x
  2. Step 2: Convert to fraction form
    261,612.28/534,319.03 = 534,319.03/x
  3. Step 3: Cross multiply
    261,612.28x = 534,319.03 × 534,319.03
  4. Step 4: Simplify right side
    261,612.28x = 285,496,827,155.94
  5. Step 5: Solve for x
    x = 285,496,827,155.94/261,612.28
  6. Step 6: Final answer
    x = 1,091,297.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.