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Finding the Third Proportional to 582,152 and 925,716

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Solution

The third proportional to 582,152 and 925,716 is: 1,472,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,152 : 925,716 = 925,716 : x
  2. Step 2: Convert to fraction form
    582,152/925,716 = 925,716/x
  3. Step 3: Cross multiply
    582,152x = 925,716 × 925,716
  4. Step 4: Simplify right side
    582,152x = 856,950,112,656
  5. Step 5: Solve for x
    x = 856,950,112,656/582,152
  6. Step 6: Final answer
    x = 1,472,038.42

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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.