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Finding the Third Proportional to 223,918 and 473,114

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Solution

The third proportional to 223,918 and 473,114 is: 999,637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,918 : 473,114 = 473,114 : x
  2. Step 2: Convert to fraction form
    223,918/473,114 = 473,114/x
  3. Step 3: Cross multiply
    223,918x = 473,114 × 473,114
  4. Step 4: Simplify right side
    223,918x = 223,836,856,996
  5. Step 5: Solve for x
    x = 223,836,856,996/223,918
  6. Step 6: Final answer
    x = 999,637.62

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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.