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Finding the Third Proportional to 466,871 and 743,229

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Solution

The third proportional to 466,871 and 743,229 is: 1,183,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,871 : 743,229 = 743,229 : x
  2. Step 2: Convert to fraction form
    466,871/743,229 = 743,229/x
  3. Step 3: Cross multiply
    466,871x = 743,229 × 743,229
  4. Step 4: Simplify right side
    466,871x = 552,389,346,441
  5. Step 5: Solve for x
    x = 552,389,346,441/466,871
  6. Step 6: Final answer
    x = 1,183,173.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.