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Finding the Third Proportional to 326,302 and 700,804

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Solution

The third proportional to 326,302 and 700,804 is: 1,505,127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,302 : 700,804 = 700,804 : x
  2. Step 2: Convert to fraction form
    326,302/700,804 = 700,804/x
  3. Step 3: Cross multiply
    326,302x = 700,804 × 700,804
  4. Step 4: Simplify right side
    326,302x = 491,126,246,416
  5. Step 5: Solve for x
    x = 491,126,246,416/326,302
  6. Step 6: Final answer
    x = 1,505,127.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.