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Finding the Third Proportional to 538,944 and 898,186.50

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Solution

The third proportional to 538,944 and 898,186.50 is: 1,496,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,944 : 898,186.50 = 898,186.50 : x
  2. Step 2: Convert to fraction form
    538,944/898,186.50 = 898,186.50/x
  3. Step 3: Cross multiply
    538,944x = 898,186.50 × 898,186.50
  4. Step 4: Simplify right side
    538,944x = 806,738,988,782.25
  5. Step 5: Solve for x
    x = 806,738,988,782.25/538,944
  6. Step 6: Final answer
    x = 1,496,888.34

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