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Finding the Third Proportional to 415,216 and 620,655

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Solution

The third proportional to 415,216 and 620,655 is: 927,740.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,216 : 620,655 = 620,655 : x
  2. Step 2: Convert to fraction form
    415,216/620,655 = 620,655/x
  3. Step 3: Cross multiply
    415,216x = 620,655 × 620,655
  4. Step 4: Simplify right side
    415,216x = 385,212,629,025
  5. Step 5: Solve for x
    x = 385,212,629,025/415,216
  6. Step 6: Final answer
    x = 927,740.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.