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Finding the Third Proportional to 321,984 and 699,294

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Solution

The third proportional to 321,984 and 699,294 is: 1,518,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,984 : 699,294 = 699,294 : x
  2. Step 2: Convert to fraction form
    321,984/699,294 = 699,294/x
  3. Step 3: Cross multiply
    321,984x = 699,294 × 699,294
  4. Step 4: Simplify right side
    321,984x = 489,012,098,436
  5. Step 5: Solve for x
    x = 489,012,098,436/321,984
  6. Step 6: Final answer
    x = 1,518,746.58

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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.