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Finding the Third Proportional to 376,466 and 552,144

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Solution

The third proportional to 376,466 and 552,144 is: 809,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,466 : 552,144 = 552,144 : x
  2. Step 2: Convert to fraction form
    376,466/552,144 = 552,144/x
  3. Step 3: Cross multiply
    376,466x = 552,144 × 552,144
  4. Step 4: Simplify right side
    376,466x = 304,862,996,736
  5. Step 5: Solve for x
    x = 304,862,996,736/376,466
  6. Step 6: Final answer
    x = 809,802.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.