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Finding the Third Proportional to 313,837 and 686,358

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Solution

The third proportional to 313,837 and 686,358 is: 1,501,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,837 : 686,358 = 686,358 : x
  2. Step 2: Convert to fraction form
    313,837/686,358 = 686,358/x
  3. Step 3: Cross multiply
    313,837x = 686,358 × 686,358
  4. Step 4: Simplify right side
    313,837x = 471,087,304,164
  5. Step 5: Solve for x
    x = 471,087,304,164/313,837
  6. Step 6: Final answer
    x = 1,501,057.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.