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Finding the Third Proportional to 202,502.53 and 477,415.27

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Solution

The third proportional to 202,502.53 and 477,415.27 is: 1,125,543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,502.53 : 477,415.27 = 477,415.27 : x
  2. Step 2: Convert to fraction form
    202,502.53/477,415.27 = 477,415.27/x
  3. Step 3: Cross multiply
    202,502.53x = 477,415.27 × 477,415.27
  4. Step 4: Simplify right side
    202,502.53x = 227,925,335,851.79
  5. Step 5: Solve for x
    x = 227,925,335,851.79/202,502.53
  6. Step 6: Final answer
    x = 1,125,543.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.