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Finding the Third Proportional to 538,931 and 898,253

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Solution

The third proportional to 538,931 and 898,253 is: 1,497,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,931 : 898,253 = 898,253 : x
  2. Step 2: Convert to fraction form
    538,931/898,253 = 898,253/x
  3. Step 3: Cross multiply
    538,931x = 898,253 × 898,253
  4. Step 4: Simplify right side
    538,931x = 806,858,452,009
  5. Step 5: Solve for x
    x = 806,858,452,009/538,931
  6. Step 6: Final answer
    x = 1,497,146.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.