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Finding the Third Proportional to 230,557.64 and 495,560.53

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Solution

The third proportional to 230,557.64 and 495,560.53 is: 1,065,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,557.64 : 495,560.53 = 495,560.53 : x
  2. Step 2: Convert to fraction form
    230,557.64/495,560.53 = 495,560.53/x
  3. Step 3: Cross multiply
    230,557.64x = 495,560.53 × 495,560.53
  4. Step 4: Simplify right side
    230,557.64x = 245,580,240,132.78
  5. Step 5: Solve for x
    x = 245,580,240,132.78/230,557.64
  6. Step 6: Final answer
    x = 1,065,157.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.