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Finding the Third Proportional to 272,403 and 633,015

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Solution

The third proportional to 272,403 and 633,015 is: 1,471,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,403 : 633,015 = 633,015 : x
  2. Step 2: Convert to fraction form
    272,403/633,015 = 633,015/x
  3. Step 3: Cross multiply
    272,403x = 633,015 × 633,015
  4. Step 4: Simplify right side
    272,403x = 400,707,990,225
  5. Step 5: Solve for x
    x = 400,707,990,225/272,403
  6. Step 6: Final answer
    x = 1,471,011.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.