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Finding the Third Proportional to 240,046 and 517,028

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Solution

The third proportional to 240,046 and 517,028 is: 1,113,611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,046 : 517,028 = 517,028 : x
  2. Step 2: Convert to fraction form
    240,046/517,028 = 517,028/x
  3. Step 3: Cross multiply
    240,046x = 517,028 × 517,028
  4. Step 4: Simplify right side
    240,046x = 267,317,952,784
  5. Step 5: Solve for x
    x = 267,317,952,784/240,046
  6. Step 6: Final answer
    x = 1,113,611.36

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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.