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Finding the Third Proportional to 243,617 and 536,440

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Solution

The third proportional to 243,617 and 536,440 is: 1,181,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,617 : 536,440 = 536,440 : x
  2. Step 2: Convert to fraction form
    243,617/536,440 = 536,440/x
  3. Step 3: Cross multiply
    243,617x = 536,440 × 536,440
  4. Step 4: Simplify right side
    243,617x = 287,767,873,600
  5. Step 5: Solve for x
    x = 287,767,873,600/243,617
  6. Step 6: Final answer
    x = 1,181,230.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.