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Finding the Third Proportional to 243,692 and 376,602

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Solution

The third proportional to 243,692 and 376,602 is: 582,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,692 : 376,602 = 376,602 : x
  2. Step 2: Convert to fraction form
    243,692/376,602 = 376,602/x
  3. Step 3: Cross multiply
    243,692x = 376,602 × 376,602
  4. Step 4: Simplify right side
    243,692x = 141,829,066,404
  5. Step 5: Solve for x
    x = 141,829,066,404/243,692
  6. Step 6: Final answer
    x = 582,001.32

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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.