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Finding the Third Proportional to 598,282 and 951,368

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Solution

The third proportional to 598,282 and 951,368 is: 1,512,833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,282 : 951,368 = 951,368 : x
  2. Step 2: Convert to fraction form
    598,282/951,368 = 951,368/x
  3. Step 3: Cross multiply
    598,282x = 951,368 × 951,368
  4. Step 4: Simplify right side
    598,282x = 905,101,071,424
  5. Step 5: Solve for x
    x = 905,101,071,424/598,282
  6. Step 6: Final answer
    x = 1,512,833.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.