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Finding the Third Proportional to 538,598 and 797,482

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Solution

The third proportional to 538,598 and 797,482 is: 1,180,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,598 : 797,482 = 797,482 : x
  2. Step 2: Convert to fraction form
    538,598/797,482 = 797,482/x
  3. Step 3: Cross multiply
    538,598x = 797,482 × 797,482
  4. Step 4: Simplify right side
    538,598x = 635,977,540,324
  5. Step 5: Solve for x
    x = 635,977,540,324/538,598
  6. Step 6: Final answer
    x = 1,180,801.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.