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Finding the Third Proportional to 288,184 and 463,034

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Solution

The third proportional to 288,184 and 463,034 is: 743,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,184 : 463,034 = 463,034 : x
  2. Step 2: Convert to fraction form
    288,184/463,034 = 463,034/x
  3. Step 3: Cross multiply
    288,184x = 463,034 × 463,034
  4. Step 4: Simplify right side
    288,184x = 214,400,485,156
  5. Step 5: Solve for x
    x = 214,400,485,156/288,184
  6. Step 6: Final answer
    x = 743,970.81

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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.