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Finding the Third Proportional to 602,261 and 825,832

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Solution

The third proportional to 602,261 and 825,832 is: 1,132,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,261 : 825,832 = 825,832 : x
  2. Step 2: Convert to fraction form
    602,261/825,832 = 825,832/x
  3. Step 3: Cross multiply
    602,261x = 825,832 × 825,832
  4. Step 4: Simplify right side
    602,261x = 681,998,492,224
  5. Step 5: Solve for x
    x = 681,998,492,224/602,261
  6. Step 6: Final answer
    x = 1,132,396.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.