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Finding the Third Proportional to 467,901.75 and 698,733.75

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Solution

The third proportional to 467,901.75 and 698,733.75 is: 1,043,443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,901.75 : 698,733.75 = 698,733.75 : x
  2. Step 2: Convert to fraction form
    467,901.75/698,733.75 = 698,733.75/x
  3. Step 3: Cross multiply
    467,901.75x = 698,733.75 × 698,733.75
  4. Step 4: Simplify right side
    467,901.75x = 488,228,853,389.06
  5. Step 5: Solve for x
    x = 488,228,853,389.06/467,901.75
  6. Step 6: Final answer
    x = 1,043,443.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.