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Finding the Third Proportional to 321,486 and 698,334

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Solution

The third proportional to 321,486 and 698,334 is: 1,516,925.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,486 : 698,334 = 698,334 : x
  2. Step 2: Convert to fraction form
    321,486/698,334 = 698,334/x
  3. Step 3: Cross multiply
    321,486x = 698,334 × 698,334
  4. Step 4: Simplify right side
    321,486x = 487,670,375,556
  5. Step 5: Solve for x
    x = 487,670,375,556/321,486
  6. Step 6: Final answer
    x = 1,516,925.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.