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Finding the Third Proportional to 313,872 and 686,032

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Solution

The third proportional to 313,872 and 686,032 is: 1,499,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,872 : 686,032 = 686,032 : x
  2. Step 2: Convert to fraction form
    313,872/686,032 = 686,032/x
  3. Step 3: Cross multiply
    313,872x = 686,032 × 686,032
  4. Step 4: Simplify right side
    313,872x = 470,639,905,024
  5. Step 5: Solve for x
    x = 470,639,905,024/313,872
  6. Step 6: Final answer
    x = 1,499,464.45

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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.