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Finding the Third Proportional to 328,624 and 672,820

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Solution

The third proportional to 328,624 and 672,820 is: 1,377,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,624 : 672,820 = 672,820 : x
  2. Step 2: Convert to fraction form
    328,624/672,820 = 672,820/x
  3. Step 3: Cross multiply
    328,624x = 672,820 × 672,820
  4. Step 4: Simplify right side
    328,624x = 452,686,752,400
  5. Step 5: Solve for x
    x = 452,686,752,400/328,624
  6. Step 6: Final answer
    x = 1,377,521.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.