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Finding the Third Proportional to 322,376 and 692,328

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Solution

The third proportional to 322,376 and 692,328 is: 1,486,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,376 : 692,328 = 692,328 : x
  2. Step 2: Convert to fraction form
    322,376/692,328 = 692,328/x
  3. Step 3: Cross multiply
    322,376x = 692,328 × 692,328
  4. Step 4: Simplify right side
    322,376x = 479,318,059,584
  5. Step 5: Solve for x
    x = 479,318,059,584/322,376
  6. Step 6: Final answer
    x = 1,486,829.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.