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Finding the Third Proportional to 299,602 and 636,140

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Solution

The third proportional to 299,602 and 636,140 is: 1,350,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,602 : 636,140 = 636,140 : x
  2. Step 2: Convert to fraction form
    299,602/636,140 = 636,140/x
  3. Step 3: Cross multiply
    299,602x = 636,140 × 636,140
  4. Step 4: Simplify right side
    299,602x = 404,674,099,600
  5. Step 5: Solve for x
    x = 404,674,099,600/299,602
  6. Step 6: Final answer
    x = 1,350,705.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.