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Finding the Third Proportional to 508,203 and 743,229

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Solution

The third proportional to 508,203 and 743,229 is: 1,086,946.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,203 : 743,229 = 743,229 : x
  2. Step 2: Convert to fraction form
    508,203/743,229 = 743,229/x
  3. Step 3: Cross multiply
    508,203x = 743,229 × 743,229
  4. Step 4: Simplify right side
    508,203x = 552,389,346,441
  5. Step 5: Solve for x
    x = 552,389,346,441/508,203
  6. Step 6: Final answer
    x = 1,086,946.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.