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Finding the Third Proportional to 322,454.50 and 683,324

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Solution

The third proportional to 322,454.50 and 683,324 is: 1,448,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,454.50 : 683,324 = 683,324 : x
  2. Step 2: Convert to fraction form
    322,454.50/683,324 = 683,324/x
  3. Step 3: Cross multiply
    322,454.50x = 683,324 × 683,324
  4. Step 4: Simplify right side
    322,454.50x = 466,931,688,976
  5. Step 5: Solve for x
    x = 466,931,688,976/322,454.50
  6. Step 6: Final answer
    x = 1,448,054.50

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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.