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Finding the Third Proportional to 326,521.13 and 470,306.25

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Solution

The third proportional to 326,521.13 and 470,306.25 is: 677,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,521.13 : 470,306.25 = 470,306.25 : x
  2. Step 2: Convert to fraction form
    326,521.13/470,306.25 = 470,306.25/x
  3. Step 3: Cross multiply
    326,521.13x = 470,306.25 × 470,306.25
  4. Step 4: Simplify right side
    326,521.13x = 221,187,968,789.06
  5. Step 5: Solve for x
    x = 221,187,968,789.06/326,521.13
  6. Step 6: Final answer
    x = 677,407.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.