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Finding the Third Proportional to 395,064 and 627,588

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Solution

The third proportional to 395,064 and 627,588 is: 996,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,064 : 627,588 = 627,588 : x
  2. Step 2: Convert to fraction form
    395,064/627,588 = 627,588/x
  3. Step 3: Cross multiply
    395,064x = 627,588 × 627,588
  4. Step 4: Simplify right side
    395,064x = 393,866,697,744
  5. Step 5: Solve for x
    x = 393,866,697,744/395,064
  6. Step 6: Final answer
    x = 996,969.35

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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.