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Finding the Third Proportional to 517,506.50 and 785,013.75

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Solution

The third proportional to 517,506.50 and 785,013.75 is: 1,190,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,506.50 : 785,013.75 = 785,013.75 : x
  2. Step 2: Convert to fraction form
    517,506.50/785,013.75 = 785,013.75/x
  3. Step 3: Cross multiply
    517,506.50x = 785,013.75 × 785,013.75
  4. Step 4: Simplify right side
    517,506.50x = 616,246,587,689.06
  5. Step 5: Solve for x
    x = 616,246,587,689.06/517,506.50
  6. Step 6: Final answer
    x = 1,190,799.71

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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.