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Finding the Third Proportional to 326,354.22 and 498,911.51

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Solution

The third proportional to 326,354.22 and 498,911.51 is: 762,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,354.22 : 498,911.51 = 498,911.51 : x
  2. Step 2: Convert to fraction form
    326,354.22/498,911.51 = 498,911.51/x
  3. Step 3: Cross multiply
    326,354.22x = 498,911.51 × 498,911.51
  4. Step 4: Simplify right side
    326,354.22x = 248,912,695,551.08
  5. Step 5: Solve for x
    x = 248,912,695,551.08/326,354.22
  6. Step 6: Final answer
    x = 762,707.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.