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Finding the Third Proportional to 313,154 and 698,022

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Solution

The third proportional to 313,154 and 698,022 is: 1,555,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,154 : 698,022 = 698,022 : x
  2. Step 2: Convert to fraction form
    313,154/698,022 = 698,022/x
  3. Step 3: Cross multiply
    313,154x = 698,022 × 698,022
  4. Step 4: Simplify right side
    313,154x = 487,234,712,484
  5. Step 5: Solve for x
    x = 487,234,712,484/313,154
  6. Step 6: Final answer
    x = 1,555,894.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.