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Finding the Third Proportional to 285,514 and 634,860

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Solution

The third proportional to 285,514 and 634,860 is: 1,411,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,514 : 634,860 = 634,860 : x
  2. Step 2: Convert to fraction form
    285,514/634,860 = 634,860/x
  3. Step 3: Cross multiply
    285,514x = 634,860 × 634,860
  4. Step 4: Simplify right side
    285,514x = 403,047,219,600
  5. Step 5: Solve for x
    x = 403,047,219,600/285,514
  6. Step 6: Final answer
    x = 1,411,654.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.