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Finding the Third Proportional to 564,758.58 and 1,159,580.81

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Solution

The third proportional to 564,758.58 and 1,159,580.81 is: 2,380,889.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,758.58 : 1,159,580.81 = 1,159,580.81 : x
  2. Step 2: Convert to fraction form
    564,758.58/1,159,580.81 = 1,159,580.81/x
  3. Step 3: Cross multiply
    564,758.58x = 1,159,580.81 × 1,159,580.81
  4. Step 4: Simplify right side
    564,758.58x = 1,344,627,660,718.16
  5. Step 5: Solve for x
    x = 1,344,627,660,718.16/564,758.58
  6. Step 6: Final answer
    x = 2,380,889.31

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.