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Finding the Third Proportional to 326,754 and 707,796

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Solution

The third proportional to 326,754 and 707,796 is: 1,533,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,754 : 707,796 = 707,796 : x
  2. Step 2: Convert to fraction form
    326,754/707,796 = 707,796/x
  3. Step 3: Cross multiply
    326,754x = 707,796 × 707,796
  4. Step 4: Simplify right side
    326,754x = 500,975,177,616
  5. Step 5: Solve for x
    x = 500,975,177,616/326,754
  6. Step 6: Final answer
    x = 1,533,187.59

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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.