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Finding the Third Proportional to 204,427.50 and 477,502.50

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Solution

The third proportional to 204,427.50 and 477,502.50 is: 1,115,352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,427.50 : 477,502.50 = 477,502.50 : x
  2. Step 2: Convert to fraction form
    204,427.50/477,502.50 = 477,502.50/x
  3. Step 3: Cross multiply
    204,427.50x = 477,502.50 × 477,502.50
  4. Step 4: Simplify right side
    204,427.50x = 228,008,637,506.25
  5. Step 5: Solve for x
    x = 228,008,637,506.25/204,427.50
  6. Step 6: Final answer
    x = 1,115,352.08

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.