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Finding the Third Proportional to 291,632.91 and 606,545.30

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Solution

The third proportional to 291,632.91 and 606,545.30 is: 1,261,507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,632.91 : 606,545.30 = 606,545.30 : x
  2. Step 2: Convert to fraction form
    291,632.91/606,545.30 = 606,545.30/x
  3. Step 3: Cross multiply
    291,632.91x = 606,545.30 × 606,545.30
  4. Step 4: Simplify right side
    291,632.91x = 367,897,197,161.18
  5. Step 5: Solve for x
    x = 367,897,197,161.18/291,632.91
  6. Step 6: Final answer
    x = 1,261,507.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.