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Finding the Third Proportional to 326,722.88 and 707,745

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Solution

The third proportional to 326,722.88 and 707,745 is: 1,533,112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,722.88 : 707,745 = 707,745 : x
  2. Step 2: Convert to fraction form
    326,722.88/707,745 = 707,745/x
  3. Step 3: Cross multiply
    326,722.88x = 707,745 × 707,745
  4. Step 4: Simplify right side
    326,722.88x = 500,902,985,025
  5. Step 5: Solve for x
    x = 500,902,985,025/326,722.88
  6. Step 6: Final answer
    x = 1,533,112.69

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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.