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Finding the Third Proportional to 325,476 and 720,612

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Solution

The third proportional to 325,476 and 720,612 is: 1,595,452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,476 : 720,612 = 720,612 : x
  2. Step 2: Convert to fraction form
    325,476/720,612 = 720,612/x
  3. Step 3: Cross multiply
    325,476x = 720,612 × 720,612
  4. Step 4: Simplify right side
    325,476x = 519,281,654,544
  5. Step 5: Solve for x
    x = 519,281,654,544/325,476
  6. Step 6: Final answer
    x = 1,595,452.98

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.