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Finding the Third Proportional to 326,742.75 and 707,769

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Solution

The third proportional to 326,742.75 and 707,769 is: 1,533,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,742.75 : 707,769 = 707,769 : x
  2. Step 2: Convert to fraction form
    326,742.75/707,769 = 707,769/x
  3. Step 3: Cross multiply
    326,742.75x = 707,769 × 707,769
  4. Step 4: Simplify right side
    326,742.75x = 500,936,957,361
  5. Step 5: Solve for x
    x = 500,936,957,361/326,742.75
  6. Step 6: Final answer
    x = 1,533,123.40

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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.