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Finding the Third Proportional to 361,867.50 and 784,971

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Solution

The third proportional to 361,867.50 and 784,971 is: 1,702,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,867.50 : 784,971 = 784,971 : x
  2. Step 2: Convert to fraction form
    361,867.50/784,971 = 784,971/x
  3. Step 3: Cross multiply
    361,867.50x = 784,971 × 784,971
  4. Step 4: Simplify right side
    361,867.50x = 616,179,470,841
  5. Step 5: Solve for x
    x = 616,179,470,841/361,867.50
  6. Step 6: Final answer
    x = 1,702,776.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.