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Finding the Third Proportional to 582,189.19 and 883,792.69

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Solution

The third proportional to 582,189.19 and 883,792.69 is: 1,341,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,189.19 : 883,792.69 = 883,792.69 : x
  2. Step 2: Convert to fraction form
    582,189.19/883,792.69 = 883,792.69/x
  3. Step 3: Cross multiply
    582,189.19x = 883,792.69 × 883,792.69
  4. Step 4: Simplify right side
    582,189.19x = 781,089,514,478.47
  5. Step 5: Solve for x
    x = 781,089,514,478.47/582,189.19
  6. Step 6: Final answer
    x = 1,341,642.08

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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.