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Finding the Third Proportional to 403,910 and 627,157

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Solution

The third proportional to 403,910 and 627,157 is: 973,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,910 : 627,157 = 627,157 : x
  2. Step 2: Convert to fraction form
    403,910/627,157 = 627,157/x
  3. Step 3: Cross multiply
    403,910x = 627,157 × 627,157
  4. Step 4: Simplify right side
    403,910x = 393,325,902,649
  5. Step 5: Solve for x
    x = 393,325,902,649/403,910
  6. Step 6: Final answer
    x = 973,795.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.