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Finding the Third Proportional to 362,112.75 and 532,085.63

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Solution

The third proportional to 362,112.75 and 532,085.63 is: 781,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,112.75 : 532,085.63 = 532,085.63 : x
  2. Step 2: Convert to fraction form
    362,112.75/532,085.63 = 532,085.63/x
  3. Step 3: Cross multiply
    362,112.75x = 532,085.63 × 532,085.63
  4. Step 4: Simplify right side
    362,112.75x = 283,115,112,331.64
  5. Step 5: Solve for x
    x = 283,115,112,331.64/362,112.75
  6. Step 6: Final answer
    x = 781,842.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.