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Finding the Third Proportional to 230,080 and 471,316

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Solution

The third proportional to 230,080 and 471,316 is: 965,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,080 : 471,316 = 471,316 : x
  2. Step 2: Convert to fraction form
    230,080/471,316 = 471,316/x
  3. Step 3: Cross multiply
    230,080x = 471,316 × 471,316
  4. Step 4: Simplify right side
    230,080x = 222,138,771,856
  5. Step 5: Solve for x
    x = 222,138,771,856/230,080
  6. Step 6: Final answer
    x = 965,484.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.