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Finding the Third Proportional to 700,719.50 and 1,082,132.25

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Solution

The third proportional to 700,719.50 and 1,082,132.25 is: 1,671,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,719.50 : 1,082,132.25 = 1,082,132.25 : x
  2. Step 2: Convert to fraction form
    700,719.50/1,082,132.25 = 1,082,132.25/x
  3. Step 3: Cross multiply
    700,719.50x = 1,082,132.25 × 1,082,132.25
  4. Step 4: Simplify right side
    700,719.50x = 1,171,010,206,490.06
  5. Step 5: Solve for x
    x = 1,171,010,206,490.06/700,719.50
  6. Step 6: Final answer
    x = 1,671,154.02

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