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Finding the Third Proportional to 538,994 and 898,251

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Solution

The third proportional to 538,994 and 898,251 is: 1,496,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,994 : 898,251 = 898,251 : x
  2. Step 2: Convert to fraction form
    538,994/898,251 = 898,251/x
  3. Step 3: Cross multiply
    538,994x = 898,251 × 898,251
  4. Step 4: Simplify right side
    538,994x = 806,854,859,001
  5. Step 5: Solve for x
    x = 806,854,859,001/538,994
  6. Step 6: Final answer
    x = 1,496,964.45

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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.