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Finding the Third Proportional to 326,856.94 and 708,002.44

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Solution

The third proportional to 326,856.94 and 708,002.44 is: 1,533,598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,856.94 : 708,002.44 = 708,002.44 : x
  2. Step 2: Convert to fraction form
    326,856.94/708,002.44 = 708,002.44/x
  3. Step 3: Cross multiply
    326,856.94x = 708,002.44 × 708,002.44
  4. Step 4: Simplify right side
    326,856.94x = 501,267,451,505.94
  5. Step 5: Solve for x
    x = 501,267,451,505.94/326,856.94
  6. Step 6: Final answer
    x = 1,533,598.94

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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.