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Finding the Third Proportional to 285,325 and 602,482

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Solution

The third proportional to 285,325 and 602,482 is: 1,272,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,325 : 602,482 = 602,482 : x
  2. Step 2: Convert to fraction form
    285,325/602,482 = 602,482/x
  3. Step 3: Cross multiply
    285,325x = 602,482 × 602,482
  4. Step 4: Simplify right side
    285,325x = 362,984,560,324
  5. Step 5: Solve for x
    x = 362,984,560,324/285,325
  6. Step 6: Final answer
    x = 1,272,179.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.