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Finding the Third Proportional to 313,202 and 499,107

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Solution

The third proportional to 313,202 and 499,107 is: 795,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,202 : 499,107 = 499,107 : x
  2. Step 2: Convert to fraction form
    313,202/499,107 = 499,107/x
  3. Step 3: Cross multiply
    313,202x = 499,107 × 499,107
  4. Step 4: Simplify right side
    313,202x = 249,107,797,449
  5. Step 5: Solve for x
    x = 249,107,797,449/313,202
  6. Step 6: Final answer
    x = 795,358.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.