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Finding the Third Proportional to 321,017 and 683,506

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Solution

The third proportional to 321,017 and 683,506 is: 1,455,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,017 : 683,506 = 683,506 : x
  2. Step 2: Convert to fraction form
    321,017/683,506 = 683,506/x
  3. Step 3: Cross multiply
    321,017x = 683,506 × 683,506
  4. Step 4: Simplify right side
    321,017x = 467,180,452,036
  5. Step 5: Solve for x
    x = 467,180,452,036/321,017
  6. Step 6: Final answer
    x = 1,455,313.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.