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Finding the Third Proportional to 241,184.25 and 520,506

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Solution

The third proportional to 241,184.25 and 520,506 is: 1,123,317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,184.25 : 520,506 = 520,506 : x
  2. Step 2: Convert to fraction form
    241,184.25/520,506 = 520,506/x
  3. Step 3: Cross multiply
    241,184.25x = 520,506 × 520,506
  4. Step 4: Simplify right side
    241,184.25x = 270,926,496,036
  5. Step 5: Solve for x
    x = 270,926,496,036/241,184.25
  6. Step 6: Final answer
    x = 1,123,317.53

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Why These Related Problems?

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