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Finding the Third Proportional to 538,929 and 898,249.50

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Solution

The third proportional to 538,929 and 898,249.50 is: 1,497,140.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,929 : 898,249.50 = 898,249.50 : x
  2. Step 2: Convert to fraction form
    538,929/898,249.50 = 898,249.50/x
  3. Step 3: Cross multiply
    538,929x = 898,249.50 × 898,249.50
  4. Step 4: Simplify right side
    538,929x = 806,852,164,250.25
  5. Step 5: Solve for x
    x = 806,852,164,250.25/538,929
  6. Step 6: Final answer
    x = 1,497,140.00

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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.