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Finding the Third Proportional to 301,260.50 and 466,769

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Solution

The third proportional to 301,260.50 and 466,769 is: 723,205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,260.50 : 466,769 = 466,769 : x
  2. Step 2: Convert to fraction form
    301,260.50/466,769 = 466,769/x
  3. Step 3: Cross multiply
    301,260.50x = 466,769 × 466,769
  4. Step 4: Simplify right side
    301,260.50x = 217,873,299,361
  5. Step 5: Solve for x
    x = 217,873,299,361/301,260.50
  6. Step 6: Final answer
    x = 723,205.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.