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Finding the Third Proportional to 583,274 and 834,084

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Solution

The third proportional to 583,274 and 834,084 is: 1,192,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,274 : 834,084 = 834,084 : x
  2. Step 2: Convert to fraction form
    583,274/834,084 = 834,084/x
  3. Step 3: Cross multiply
    583,274x = 834,084 × 834,084
  4. Step 4: Simplify right side
    583,274x = 695,696,119,056
  5. Step 5: Solve for x
    x = 695,696,119,056/583,274
  6. Step 6: Final answer
    x = 1,192,743.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.