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Finding the Third Proportional to 582,197.63 and 883,798.59

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Solution

The third proportional to 582,197.63 and 883,798.59 is: 1,341,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,197.63 : 883,798.59 = 883,798.59 : x
  2. Step 2: Convert to fraction form
    582,197.63/883,798.59 = 883,798.59/x
  3. Step 3: Cross multiply
    582,197.63x = 883,798.59 × 883,798.59
  4. Step 4: Simplify right side
    582,197.63x = 781,099,954,314.48
  5. Step 5: Solve for x
    x = 781,099,954,314.48/582,197.63
  6. Step 6: Final answer
    x = 1,341,640.57

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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.