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Finding the Third Proportional to 538,934 and 845,427

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Solution

The third proportional to 538,934 and 845,427 is: 1,326,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,934 : 845,427 = 845,427 : x
  2. Step 2: Convert to fraction form
    538,934/845,427 = 845,427/x
  3. Step 3: Cross multiply
    538,934x = 845,427 × 845,427
  4. Step 4: Simplify right side
    538,934x = 714,746,812,329
  5. Step 5: Solve for x
    x = 714,746,812,329/538,934
  6. Step 6: Final answer
    x = 1,326,223.27

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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.