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Finding the Third Proportional to 532,018.13 and 817,755.75

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Solution

The third proportional to 532,018.13 and 817,755.75 is: 1,256,958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,018.13 : 817,755.75 = 817,755.75 : x
  2. Step 2: Convert to fraction form
    532,018.13/817,755.75 = 817,755.75/x
  3. Step 3: Cross multiply
    532,018.13x = 817,755.75 × 817,755.75
  4. Step 4: Simplify right side
    532,018.13x = 668,724,466,658.06
  5. Step 5: Solve for x
    x = 668,724,466,658.06/532,018.13
  6. Step 6: Final answer
    x = 1,256,958.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.