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Finding the Third Proportional to 223,897 and 473,063

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Solution

The third proportional to 223,897 and 473,063 is: 999,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,897 : 473,063 = 473,063 : x
  2. Step 2: Convert to fraction form
    223,897/473,063 = 473,063/x
  3. Step 3: Cross multiply
    223,897x = 473,063 × 473,063
  4. Step 4: Simplify right side
    223,897x = 223,788,601,969
  5. Step 5: Solve for x
    x = 223,788,601,969/223,897
  6. Step 6: Final answer
    x = 999,515.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.