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Finding the Third Proportional to 240,509.25 and 519,534

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Solution

The third proportional to 240,509.25 and 519,534 is: 1,122,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,509.25 : 519,534 = 519,534 : x
  2. Step 2: Convert to fraction form
    240,509.25/519,534 = 519,534/x
  3. Step 3: Cross multiply
    240,509.25x = 519,534 × 519,534
  4. Step 4: Simplify right side
    240,509.25x = 269,915,577,156
  5. Step 5: Solve for x
    x = 269,915,577,156/240,509.25
  6. Step 6: Final answer
    x = 1,122,266.93

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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.