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Finding the Third Proportional to 301,196 and 627,343

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Solution

The third proportional to 301,196 and 627,343 is: 1,306,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,196 : 627,343 = 627,343 : x
  2. Step 2: Convert to fraction form
    301,196/627,343 = 627,343/x
  3. Step 3: Cross multiply
    301,196x = 627,343 × 627,343
  4. Step 4: Simplify right side
    301,196x = 393,559,239,649
  5. Step 5: Solve for x
    x = 393,559,239,649/301,196
  6. Step 6: Final answer
    x = 1,306,654.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.