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Finding the Third Proportional to 288,280.69 and 630,856.69

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Solution

The third proportional to 288,280.69 and 630,856.69 is: 1,380,530.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,280.69 : 630,856.69 = 630,856.69 : x
  2. Step 2: Convert to fraction form
    288,280.69/630,856.69 = 630,856.69/x
  3. Step 3: Cross multiply
    288,280.69x = 630,856.69 × 630,856.69
  4. Step 4: Simplify right side
    288,280.69x = 397,980,160,163.47
  5. Step 5: Solve for x
    x = 397,980,160,163.47/288,280.69
  6. Step 6: Final answer
    x = 1,380,530.08

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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.