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Finding the Third Proportional to 538,849 and 845,291

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Solution

The third proportional to 538,849 and 845,291 is: 1,326,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,849 : 845,291 = 845,291 : x
  2. Step 2: Convert to fraction form
    538,849/845,291 = 845,291/x
  3. Step 3: Cross multiply
    538,849x = 845,291 × 845,291
  4. Step 4: Simplify right side
    538,849x = 714,516,874,681
  5. Step 5: Solve for x
    x = 714,516,874,681/538,849
  6. Step 6: Final answer
    x = 1,326,005.75

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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.