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Finding the Third Proportional to 219,030.75 and 475,240.50

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Solution

The third proportional to 219,030.75 and 475,240.50 is: 1,031,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,030.75 : 475,240.50 = 475,240.50 : x
  2. Step 2: Convert to fraction form
    219,030.75/475,240.50 = 475,240.50/x
  3. Step 3: Cross multiply
    219,030.75x = 475,240.50 × 475,240.50
  4. Step 4: Simplify right side
    219,030.75x = 225,853,532,840.25
  5. Step 5: Solve for x
    x = 225,853,532,840.25/219,030.75
  6. Step 6: Final answer
    x = 1,031,149.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.