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Finding the Third Proportional to 377,548 and 571,812

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Solution

The third proportional to 377,548 and 571,812 is: 866,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,548 : 571,812 = 571,812 : x
  2. Step 2: Convert to fraction form
    377,548/571,812 = 571,812/x
  3. Step 3: Cross multiply
    377,548x = 571,812 × 571,812
  4. Step 4: Simplify right side
    377,548x = 326,968,963,344
  5. Step 5: Solve for x
    x = 326,968,963,344/377,548
  6. Step 6: Final answer
    x = 866,032.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.