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Finding the Third Proportional to 240,044 and 517,024

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Solution

The third proportional to 240,044 and 517,024 is: 1,113,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,044 : 517,024 = 517,024 : x
  2. Step 2: Convert to fraction form
    240,044/517,024 = 517,024/x
  3. Step 3: Cross multiply
    240,044x = 517,024 × 517,024
  4. Step 4: Simplify right side
    240,044x = 267,313,816,576
  5. Step 5: Solve for x
    x = 267,313,816,576/240,044
  6. Step 6: Final answer
    x = 1,113,603.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.