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Finding the Third Proportional to 320,940 and 499,811

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Solution

The third proportional to 320,940 and 499,811 is: 778,373.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,940 : 499,811 = 499,811 : x
  2. Step 2: Convert to fraction form
    320,940/499,811 = 499,811/x
  3. Step 3: Cross multiply
    320,940x = 499,811 × 499,811
  4. Step 4: Simplify right side
    320,940x = 249,811,035,721
  5. Step 5: Solve for x
    x = 249,811,035,721/320,940
  6. Step 6: Final answer
    x = 778,373.02

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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.