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Finding the Third Proportional to 583,640 and 834,600

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Solution

The third proportional to 583,640 and 834,600 is: 1,193,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,640 : 834,600 = 834,600 : x
  2. Step 2: Convert to fraction form
    583,640/834,600 = 834,600/x
  3. Step 3: Cross multiply
    583,640x = 834,600 × 834,600
  4. Step 4: Simplify right side
    583,640x = 696,557,160,000
  5. Step 5: Solve for x
    x = 696,557,160,000/583,640
  6. Step 6: Final answer
    x = 1,193,470.56

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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.