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Finding the Third Proportional to 326,828 and 700,312

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Solution

The third proportional to 326,828 and 700,312 is: 1,500,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,828 : 700,312 = 700,312 : x
  2. Step 2: Convert to fraction form
    326,828/700,312 = 700,312/x
  3. Step 3: Cross multiply
    326,828x = 700,312 × 700,312
  4. Step 4: Simplify right side
    326,828x = 490,436,897,344
  5. Step 5: Solve for x
    x = 490,436,897,344/326,828
  6. Step 6: Final answer
    x = 1,500,596.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.