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Finding the Third Proportional to 415,232 and 620,684

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Solution

The third proportional to 415,232 and 620,684 is: 927,791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,232 : 620,684 = 620,684 : x
  2. Step 2: Convert to fraction form
    415,232/620,684 = 620,684/x
  3. Step 3: Cross multiply
    415,232x = 620,684 × 620,684
  4. Step 4: Simplify right side
    415,232x = 385,248,627,856
  5. Step 5: Solve for x
    x = 385,248,627,856/415,232
  6. Step 6: Final answer
    x = 927,791.28

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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.