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Finding the Third Proportional to 326,716.50 and 700,707

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Solution

The third proportional to 326,716.50 and 700,707 is: 1,502,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,716.50 : 700,707 = 700,707 : x
  2. Step 2: Convert to fraction form
    326,716.50/700,707 = 700,707/x
  3. Step 3: Cross multiply
    326,716.50x = 700,707 × 700,707
  4. Step 4: Simplify right side
    326,716.50x = 490,990,299,849
  5. Step 5: Solve for x
    x = 490,990,299,849/326,716.50
  6. Step 6: Final answer
    x = 1,502,802.28

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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.