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Finding the Third Proportional to 494,588 and 744,202

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Solution

The third proportional to 494,588 and 744,202 is: 1,119,793.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,588 : 744,202 = 744,202 : x
  2. Step 2: Convert to fraction form
    494,588/744,202 = 744,202/x
  3. Step 3: Cross multiply
    494,588x = 744,202 × 744,202
  4. Step 4: Simplify right side
    494,588x = 553,836,616,804
  5. Step 5: Solve for x
    x = 553,836,616,804/494,588
  6. Step 6: Final answer
    x = 1,119,793.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.