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Finding the Third Proportional to 322,449.75 and 683,316

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Solution

The third proportional to 322,449.75 and 683,316 is: 1,448,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,449.75 : 683,316 = 683,316 : x
  2. Step 2: Convert to fraction form
    322,449.75/683,316 = 683,316/x
  3. Step 3: Cross multiply
    322,449.75x = 683,316 × 683,316
  4. Step 4: Simplify right side
    322,449.75x = 466,920,755,856
  5. Step 5: Solve for x
    x = 466,920,755,856/322,449.75
  6. Step 6: Final answer
    x = 1,448,041.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.