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Finding the Third Proportional to 241,317 and 561,051

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Solution

The third proportional to 241,317 and 561,051 is: 1,304,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,317 : 561,051 = 561,051 : x
  2. Step 2: Convert to fraction form
    241,317/561,051 = 561,051/x
  3. Step 3: Cross multiply
    241,317x = 561,051 × 561,051
  4. Step 4: Simplify right side
    241,317x = 314,778,224,601
  5. Step 5: Solve for x
    x = 314,778,224,601/241,317
  6. Step 6: Final answer
    x = 1,304,417.94

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.