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Finding the Third Proportional to 227,613 and 497,265

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Solution

The third proportional to 227,613 and 497,265 is: 1,086,372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,613 : 497,265 = 497,265 : x
  2. Step 2: Convert to fraction form
    227,613/497,265 = 497,265/x
  3. Step 3: Cross multiply
    227,613x = 497,265 × 497,265
  4. Step 4: Simplify right side
    227,613x = 247,272,480,225
  5. Step 5: Solve for x
    x = 247,272,480,225/227,613
  6. Step 6: Final answer
    x = 1,086,372.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.