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Finding the Third Proportional to 243,724 and 376,648.75

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Solution

The third proportional to 243,724 and 376,648.75 is: 582,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,724 : 376,648.75 = 376,648.75 : x
  2. Step 2: Convert to fraction form
    243,724/376,648.75 = 376,648.75/x
  3. Step 3: Cross multiply
    243,724x = 376,648.75 × 376,648.75
  4. Step 4: Simplify right side
    243,724x = 141,864,280,876.56
  5. Step 5: Solve for x
    x = 141,864,280,876.56/243,724
  6. Step 6: Final answer
    x = 582,069.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.