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Finding the Third Proportional to 290,401.50 and 467,841

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Solution

The third proportional to 290,401.50 and 467,841 is: 753,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,401.50 : 467,841 = 467,841 : x
  2. Step 2: Convert to fraction form
    290,401.50/467,841 = 467,841/x
  3. Step 3: Cross multiply
    290,401.50x = 467,841 × 467,841
  4. Step 4: Simplify right side
    290,401.50x = 218,875,201,281
  5. Step 5: Solve for x
    x = 218,875,201,281/290,401.50
  6. Step 6: Final answer
    x = 753,698.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.