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Finding the Third Proportional to 538,884 and 845,414

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Solution

The third proportional to 538,884 and 845,414 is: 1,326,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,884 : 845,414 = 845,414 : x
  2. Step 2: Convert to fraction form
    538,884/845,414 = 845,414/x
  3. Step 3: Cross multiply
    538,884x = 845,414 × 845,414
  4. Step 4: Simplify right side
    538,884x = 714,724,831,396
  5. Step 5: Solve for x
    x = 714,724,831,396/538,884
  6. Step 6: Final answer
    x = 1,326,305.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.