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Finding the Third Proportional to 502,318 and 704,005

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Solution

The third proportional to 502,318 and 704,005 is: 986,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,318 : 704,005 = 704,005 : x
  2. Step 2: Convert to fraction form
    502,318/704,005 = 704,005/x
  3. Step 3: Cross multiply
    502,318x = 704,005 × 704,005
  4. Step 4: Simplify right side
    502,318x = 495,623,040,025
  5. Step 5: Solve for x
    x = 495,623,040,025/502,318
  6. Step 6: Final answer
    x = 986,671.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.