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Finding the Third Proportional to 322,458 and 683,331

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Solution

The third proportional to 322,458 and 683,331 is: 1,448,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,458 : 683,331 = 683,331 : x
  2. Step 2: Convert to fraction form
    322,458/683,331 = 683,331/x
  3. Step 3: Cross multiply
    322,458x = 683,331 × 683,331
  4. Step 4: Simplify right side
    322,458x = 466,941,255,561
  5. Step 5: Solve for x
    x = 466,941,255,561/322,458
  6. Step 6: Final answer
    x = 1,448,068.45

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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.