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Finding the Third Proportional to 542,880 and 713,884

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Solution

The third proportional to 542,880 and 713,884 is: 938,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,880 : 713,884 = 713,884 : x
  2. Step 2: Convert to fraction form
    542,880/713,884 = 713,884/x
  3. Step 3: Cross multiply
    542,880x = 713,884 × 713,884
  4. Step 4: Simplify right side
    542,880x = 509,630,365,456
  5. Step 5: Solve for x
    x = 509,630,365,456/542,880
  6. Step 6: Final answer
    x = 938,753.25

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.