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Finding the Third Proportional to 199,404.28 and 437,567.06

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Solution

The third proportional to 199,404.28 and 437,567.06 is: 960,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,404.28 : 437,567.06 = 437,567.06 : x
  2. Step 2: Convert to fraction form
    199,404.28/437,567.06 = 437,567.06/x
  3. Step 3: Cross multiply
    199,404.28x = 437,567.06 × 437,567.06
  4. Step 4: Simplify right side
    199,404.28x = 191,464,934,184.88
  5. Step 5: Solve for x
    x = 191,464,934,184.88/199,404.28
  6. Step 6: Final answer
    x = 960,184.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.