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Finding the Third Proportional to 320,927.50 and 499,793.50

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Solution

The third proportional to 320,927.50 and 499,793.50 is: 778,348.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,927.50 : 499,793.50 = 499,793.50 : x
  2. Step 2: Convert to fraction form
    320,927.50/499,793.50 = 499,793.50/x
  3. Step 3: Cross multiply
    320,927.50x = 499,793.50 × 499,793.50
  4. Step 4: Simplify right side
    320,927.50x = 249,793,542,642.25
  5. Step 5: Solve for x
    x = 249,793,542,642.25/320,927.50
  6. Step 6: Final answer
    x = 778,348.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.