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Finding the Third Proportional to 240,468.75 and 519,088.50

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Solution

The third proportional to 240,468.75 and 519,088.50 is: 1,120,531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,468.75 : 519,088.50 = 519,088.50 : x
  2. Step 2: Convert to fraction form
    240,468.75/519,088.50 = 519,088.50/x
  3. Step 3: Cross multiply
    240,468.75x = 519,088.50 × 519,088.50
  4. Step 4: Simplify right side
    240,468.75x = 269,452,870,832.25
  5. Step 5: Solve for x
    x = 269,452,870,832.25/240,468.75
  6. Step 6: Final answer
    x = 1,120,531.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.