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Finding the Third Proportional to 485,599 and 735,171

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Solution

The third proportional to 485,599 and 735,171 is: 1,113,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,599 : 735,171 = 735,171 : x
  2. Step 2: Convert to fraction form
    485,599/735,171 = 735,171/x
  3. Step 3: Cross multiply
    485,599x = 735,171 × 735,171
  4. Step 4: Simplify right side
    485,599x = 540,476,399,241
  5. Step 5: Solve for x
    x = 540,476,399,241/485,599
  6. Step 6: Final answer
    x = 1,113,009.70

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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.