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Finding the Third Proportional to 502,330 and 704,015

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Solution

The third proportional to 502,330 and 704,015 is: 986,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,330 : 704,015 = 704,015 : x
  2. Step 2: Convert to fraction form
    502,330/704,015 = 704,015/x
  3. Step 3: Cross multiply
    502,330x = 704,015 × 704,015
  4. Step 4: Simplify right side
    502,330x = 495,637,120,225
  5. Step 5: Solve for x
    x = 495,637,120,225/502,330
  6. Step 6: Final answer
    x = 986,676.33

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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.