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Finding the Third Proportional to 223,791 and 473,502

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Solution

The third proportional to 223,791 and 473,502 is: 1,001,846.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,791 : 473,502 = 473,502 : x
  2. Step 2: Convert to fraction form
    223,791/473,502 = 473,502/x
  3. Step 3: Cross multiply
    223,791x = 473,502 × 473,502
  4. Step 4: Simplify right side
    223,791x = 224,204,144,004
  5. Step 5: Solve for x
    x = 224,204,144,004/223,791
  6. Step 6: Final answer
    x = 1,001,846.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.