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Finding the Third Proportional to 301,911.75 and 477,472.50

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Solution

The third proportional to 301,911.75 and 477,472.50 is: 755,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,911.75 : 477,472.50 = 477,472.50 : x
  2. Step 2: Convert to fraction form
    301,911.75/477,472.50 = 477,472.50/x
  3. Step 3: Cross multiply
    301,911.75x = 477,472.50 × 477,472.50
  4. Step 4: Simplify right side
    301,911.75x = 227,979,988,256.25
  5. Step 5: Solve for x
    x = 227,979,988,256.25/301,911.75
  6. Step 6: Final answer
    x = 755,121.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.