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Finding the Third Proportional to 582,220 and 925,820

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Solution

The third proportional to 582,220 and 925,820 is: 1,472,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,220 : 925,820 = 925,820 : x
  2. Step 2: Convert to fraction form
    582,220/925,820 = 925,820/x
  3. Step 3: Cross multiply
    582,220x = 925,820 × 925,820
  4. Step 4: Simplify right side
    582,220x = 857,142,672,400
  5. Step 5: Solve for x
    x = 857,142,672,400/582,220
  6. Step 6: Final answer
    x = 1,472,197.23

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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.