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Finding the Third Proportional to 486,173 and 735,966

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Solution

The third proportional to 486,173 and 735,966 is: 1,114,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,173 : 735,966 = 735,966 : x
  2. Step 2: Convert to fraction form
    486,173/735,966 = 735,966/x
  3. Step 3: Cross multiply
    486,173x = 735,966 × 735,966
  4. Step 4: Simplify right side
    486,173x = 541,645,953,156
  5. Step 5: Solve for x
    x = 541,645,953,156/486,173
  6. Step 6: Final answer
    x = 1,114,101.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.