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Finding the Third Proportional to 326,982 and 698,316

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Solution

The third proportional to 326,982 and 698,316 is: 1,491,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,982 : 698,316 = 698,316 : x
  2. Step 2: Convert to fraction form
    326,982/698,316 = 698,316/x
  3. Step 3: Cross multiply
    326,982x = 698,316 × 698,316
  4. Step 4: Simplify right side
    326,982x = 487,645,235,856
  5. Step 5: Solve for x
    x = 487,645,235,856/326,982
  6. Step 6: Final answer
    x = 1,491,351.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.