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Finding the Third Proportional to 480,865.50 and 693,013.50

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Solution

The third proportional to 480,865.50 and 693,013.50 is: 998,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,865.50 : 693,013.50 = 693,013.50 : x
  2. Step 2: Convert to fraction form
    480,865.50/693,013.50 = 693,013.50/x
  3. Step 3: Cross multiply
    480,865.50x = 693,013.50 × 693,013.50
  4. Step 4: Simplify right side
    480,865.50x = 480,267,711,182.25
  5. Step 5: Solve for x
    x = 480,267,711,182.25/480,865.50
  6. Step 6: Final answer
    x = 998,756.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.