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Finding the Third Proportional to 467,890.50 and 743,829

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Solution

The third proportional to 467,890.50 and 743,829 is: 1,182,502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,890.50 : 743,829 = 743,829 : x
  2. Step 2: Convert to fraction form
    467,890.50/743,829 = 743,829/x
  3. Step 3: Cross multiply
    467,890.50x = 743,829 × 743,829
  4. Step 4: Simplify right side
    467,890.50x = 553,281,581,241
  5. Step 5: Solve for x
    x = 553,281,581,241/467,890.50
  6. Step 6: Final answer
    x = 1,182,502.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.