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Finding the Third Proportional to 442,516 and 683,382

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Solution

The third proportional to 442,516 and 683,382 is: 1,055,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,516 : 683,382 = 683,382 : x
  2. Step 2: Convert to fraction form
    442,516/683,382 = 683,382/x
  3. Step 3: Cross multiply
    442,516x = 683,382 × 683,382
  4. Step 4: Simplify right side
    442,516x = 467,010,957,924
  5. Step 5: Solve for x
    x = 467,010,957,924/442,516
  6. Step 6: Final answer
    x = 1,055,353.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.