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Finding the Third Proportional to 640,314 and 927,411

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Solution

The third proportional to 640,314 and 927,411 is: 1,343,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,314 : 927,411 = 927,411 : x
  2. Step 2: Convert to fraction form
    640,314/927,411 = 927,411/x
  3. Step 3: Cross multiply
    640,314x = 927,411 × 927,411
  4. Step 4: Simplify right side
    640,314x = 860,091,162,921
  5. Step 5: Solve for x
    x = 860,091,162,921/640,314
  6. Step 6: Final answer
    x = 1,343,233.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.