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Finding the Third Proportional to 321,014 and 683,498

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Solution

The third proportional to 321,014 and 683,498 is: 1,455,293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,014 : 683,498 = 683,498 : x
  2. Step 2: Convert to fraction form
    321,014/683,498 = 683,498/x
  3. Step 3: Cross multiply
    321,014x = 683,498 × 683,498
  4. Step 4: Simplify right side
    321,014x = 467,169,516,004
  5. Step 5: Solve for x
    x = 467,169,516,004/321,014
  6. Step 6: Final answer
    x = 1,455,293.28

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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.