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Finding the Third Proportional to 223,496 and 475,799

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Solution

The third proportional to 223,496 and 475,799 is: 1,012,925.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,496 : 475,799 = 475,799 : x
  2. Step 2: Convert to fraction form
    223,496/475,799 = 475,799/x
  3. Step 3: Cross multiply
    223,496x = 475,799 × 475,799
  4. Step 4: Simplify right side
    223,496x = 226,384,688,401
  5. Step 5: Solve for x
    x = 226,384,688,401/223,496
  6. Step 6: Final answer
    x = 1,012,925.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.