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Finding the Third Proportional to 289,809 and 587,803.75

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Solution

The third proportional to 289,809 and 587,803.75 is: 1,192,210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,809 : 587,803.75 = 587,803.75 : x
  2. Step 2: Convert to fraction form
    289,809/587,803.75 = 587,803.75/x
  3. Step 3: Cross multiply
    289,809x = 587,803.75 × 587,803.75
  4. Step 4: Simplify right side
    289,809x = 345,513,248,514.06
  5. Step 5: Solve for x
    x = 345,513,248,514.06/289,809
  6. Step 6: Final answer
    x = 1,192,210.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.