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Finding the Third Proportional to 326,872.13 and 708,031.13

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Solution

The third proportional to 326,872.13 and 708,031.13 is: 1,533,651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,872.13 : 708,031.13 = 708,031.13 : x
  2. Step 2: Convert to fraction form
    326,872.13/708,031.13 = 708,031.13/x
  3. Step 3: Cross multiply
    326,872.13x = 708,031.13 × 708,031.13
  4. Step 4: Simplify right side
    326,872.13x = 501,308,073,968.77
  5. Step 5: Solve for x
    x = 501,308,073,968.77/326,872.13
  6. Step 6: Final answer
    x = 1,533,651.96

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