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Finding the Third Proportional to 223,802 and 457,943

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Solution

The third proportional to 223,802 and 457,943 is: 937,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,802 : 457,943 = 457,943 : x
  2. Step 2: Convert to fraction form
    223,802/457,943 = 457,943/x
  3. Step 3: Cross multiply
    223,802x = 457,943 × 457,943
  4. Step 4: Simplify right side
    223,802x = 209,711,791,249
  5. Step 5: Solve for x
    x = 209,711,791,249/223,802
  6. Step 6: Final answer
    x = 937,041.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.