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Finding the Third Proportional to 468,749.50 and 663,713

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Solution

The third proportional to 468,749.50 and 663,713 is: 939,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,749.50 : 663,713 = 663,713 : x
  2. Step 2: Convert to fraction form
    468,749.50/663,713 = 663,713/x
  3. Step 3: Cross multiply
    468,749.50x = 663,713 × 663,713
  4. Step 4: Simplify right side
    468,749.50x = 440,514,946,369
  5. Step 5: Solve for x
    x = 440,514,946,369/468,749.50
  6. Step 6: Final answer
    x = 939,766.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.