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Finding the Third Proportional to 602,190 and 880,671

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Solution

The third proportional to 602,190 and 880,671 is: 1,287,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,190 : 880,671 = 880,671 : x
  2. Step 2: Convert to fraction form
    602,190/880,671 = 880,671/x
  3. Step 3: Cross multiply
    602,190x = 880,671 × 880,671
  4. Step 4: Simplify right side
    602,190x = 775,581,410,241
  5. Step 5: Solve for x
    x = 775,581,410,241/602,190
  6. Step 6: Final answer
    x = 1,287,934.72

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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.