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Finding the Third Proportional to 243,878 and 532,444

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Solution

The third proportional to 243,878 and 532,444 is: 1,162,452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,878 : 532,444 = 532,444 : x
  2. Step 2: Convert to fraction form
    243,878/532,444 = 532,444/x
  3. Step 3: Cross multiply
    243,878x = 532,444 × 532,444
  4. Step 4: Simplify right side
    243,878x = 283,496,613,136
  5. Step 5: Solve for x
    x = 283,496,613,136/243,878
  6. Step 6: Final answer
    x = 1,162,452.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.