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Finding the Third Proportional to 582,112.69 and 883,010.81

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Solution

The third proportional to 582,112.69 and 883,010.81 is: 1,339,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,112.69 : 883,010.81 = 883,010.81 : x
  2. Step 2: Convert to fraction form
    582,112.69/883,010.81 = 883,010.81/x
  3. Step 3: Cross multiply
    582,112.69x = 883,010.81 × 883,010.81
  4. Step 4: Simplify right side
    582,112.69x = 779,708,094,991.91
  5. Step 5: Solve for x
    x = 779,708,094,991.91/582,112.69
  6. Step 6: Final answer
    x = 1,339,445.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.