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Finding the Third Proportional to 260,039.50 and 567,934

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Solution

The third proportional to 260,039.50 and 567,934 is: 1,240,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,039.50 : 567,934 = 567,934 : x
  2. Step 2: Convert to fraction form
    260,039.50/567,934 = 567,934/x
  3. Step 3: Cross multiply
    260,039.50x = 567,934 × 567,934
  4. Step 4: Simplify right side
    260,039.50x = 322,549,028,356
  5. Step 5: Solve for x
    x = 322,549,028,356/260,039.50
  6. Step 6: Final answer
    x = 1,240,384.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.