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Finding the Third Proportional to 322,297 and 683,013

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Solution

The third proportional to 322,297 and 683,013 is: 1,447,443.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,297 : 683,013 = 683,013 : x
  2. Step 2: Convert to fraction form
    322,297/683,013 = 683,013/x
  3. Step 3: Cross multiply
    322,297x = 683,013 × 683,013
  4. Step 4: Simplify right side
    322,297x = 466,506,758,169
  5. Step 5: Solve for x
    x = 466,506,758,169/322,297
  6. Step 6: Final answer
    x = 1,447,443.69

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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.