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Finding the Third Proportional to 223,894 and 473,057

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Solution

The third proportional to 223,894 and 473,057 is: 999,503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,894 : 473,057 = 473,057 : x
  2. Step 2: Convert to fraction form
    223,894/473,057 = 473,057/x
  3. Step 3: Cross multiply
    223,894x = 473,057 × 473,057
  4. Step 4: Simplify right side
    223,894x = 223,782,925,249
  5. Step 5: Solve for x
    x = 223,782,925,249/223,894
  6. Step 6: Final answer
    x = 999,503.90

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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.