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Finding the Third Proportional to 240,765.75 and 519,426

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Solution

The third proportional to 240,765.75 and 519,426 is: 1,120,605.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,765.75 : 519,426 = 519,426 : x
  2. Step 2: Convert to fraction form
    240,765.75/519,426 = 519,426/x
  3. Step 3: Cross multiply
    240,765.75x = 519,426 × 519,426
  4. Step 4: Simplify right side
    240,765.75x = 269,803,369,476
  5. Step 5: Solve for x
    x = 269,803,369,476/240,765.75
  6. Step 6: Final answer
    x = 1,120,605.27

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