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Finding the Third Proportional to 515,945.75 and 781,721.75

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Solution

The third proportional to 515,945.75 and 781,721.75 is: 1,184,405.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,945.75 : 781,721.75 = 781,721.75 : x
  2. Step 2: Convert to fraction form
    515,945.75/781,721.75 = 781,721.75/x
  3. Step 3: Cross multiply
    515,945.75x = 781,721.75 × 781,721.75
  4. Step 4: Simplify right side
    515,945.75x = 611,088,894,423.06
  5. Step 5: Solve for x
    x = 611,088,894,423.06/515,945.75
  6. Step 6: Final answer
    x = 1,184,405.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.