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Finding the Third Proportional to 240,175 and 517,461

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Solution

The third proportional to 240,175 and 517,461 is: 1,114,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,175 : 517,461 = 517,461 : x
  2. Step 2: Convert to fraction form
    240,175/517,461 = 517,461/x
  3. Step 3: Cross multiply
    240,175x = 517,461 × 517,461
  4. Step 4: Simplify right side
    240,175x = 267,765,886,521
  5. Step 5: Solve for x
    x = 267,765,886,521/240,175
  6. Step 6: Final answer
    x = 1,114,878.26

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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.