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Finding the Third Proportional to 326,027.53 and 708,193.13

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Solution

The third proportional to 326,027.53 and 708,193.13 is: 1,538,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,027.53 : 708,193.13 = 708,193.13 : x
  2. Step 2: Convert to fraction form
    326,027.53/708,193.13 = 708,193.13/x
  3. Step 3: Cross multiply
    326,027.53x = 708,193.13 × 708,193.13
  4. Step 4: Simplify right side
    326,027.53x = 501,537,502,297.27
  5. Step 5: Solve for x
    x = 501,537,502,297.27/326,027.53
  6. Step 6: Final answer
    x = 1,538,328.68

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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.