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Finding the Third Proportional to 602,150 and 880,620

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Solution

The third proportional to 602,150 and 880,620 is: 1,287,871.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,150 : 880,620 = 880,620 : x
  2. Step 2: Convert to fraction form
    602,150/880,620 = 880,620/x
  3. Step 3: Cross multiply
    602,150x = 880,620 × 880,620
  4. Step 4: Simplify right side
    602,150x = 775,491,584,400
  5. Step 5: Solve for x
    x = 775,491,584,400/602,150
  6. Step 6: Final answer
    x = 1,287,871.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.