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Finding the Third Proportional to 709,765.50 and 1,073,116.50

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Solution

The third proportional to 709,765.50 and 1,073,116.50 is: 1,622,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,765.50 : 1,073,116.50 = 1,073,116.50 : x
  2. Step 2: Convert to fraction form
    709,765.50/1,073,116.50 = 1,073,116.50/x
  3. Step 3: Cross multiply
    709,765.50x = 1,073,116.50 × 1,073,116.50
  4. Step 4: Simplify right side
    709,765.50x = 1,151,579,022,572.25
  5. Step 5: Solve for x
    x = 1,151,579,022,572.25/709,765.50
  6. Step 6: Final answer
    x = 1,622,478.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.