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Finding the Third Proportional to 395,076 and 627,606

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Solution

The third proportional to 395,076 and 627,606 is: 996,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,076 : 627,606 = 627,606 : x
  2. Step 2: Convert to fraction form
    395,076/627,606 = 627,606/x
  3. Step 3: Cross multiply
    395,076x = 627,606 × 627,606
  4. Step 4: Simplify right side
    395,076x = 393,889,291,236
  5. Step 5: Solve for x
    x = 393,889,291,236/395,076
  6. Step 6: Final answer
    x = 996,996.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.