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Finding the Third Proportional to 295,517 and 627,943

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Solution

The third proportional to 295,517 and 627,943 is: 1,334,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,517 : 627,943 = 627,943 : x
  2. Step 2: Convert to fraction form
    295,517/627,943 = 627,943/x
  3. Step 3: Cross multiply
    295,517x = 627,943 × 627,943
  4. Step 4: Simplify right side
    295,517x = 394,312,411,249
  5. Step 5: Solve for x
    x = 394,312,411,249/295,517
  6. Step 6: Final answer
    x = 1,334,313.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.