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Finding the Third Proportional to 299,927 and 476,985

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Solution

The third proportional to 299,927 and 476,985 is: 758,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,927 : 476,985 = 476,985 : x
  2. Step 2: Convert to fraction form
    299,927/476,985 = 476,985/x
  3. Step 3: Cross multiply
    299,927x = 476,985 × 476,985
  4. Step 4: Simplify right side
    299,927x = 227,514,690,225
  5. Step 5: Solve for x
    x = 227,514,690,225/299,927
  6. Step 6: Final answer
    x = 758,566.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.