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Finding the Third Proportional to 686,583 and 998,709.75

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Solution

The third proportional to 686,583 and 998,709.75 is: 1,452,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,583 : 998,709.75 = 998,709.75 : x
  2. Step 2: Convert to fraction form
    686,583/998,709.75 = 998,709.75/x
  3. Step 3: Cross multiply
    686,583x = 998,709.75 × 998,709.75
  4. Step 4: Simplify right side
    686,583x = 997,421,164,745.06
  5. Step 5: Solve for x
    x = 997,421,164,745.06/686,583
  6. Step 6: Final answer
    x = 1,452,732.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.