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Finding the Third Proportional to 554,471 and 834,167

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Solution

The third proportional to 554,471 and 834,167 is: 1,254,952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,471 : 834,167 = 834,167 : x
  2. Step 2: Convert to fraction form
    554,471/834,167 = 834,167/x
  3. Step 3: Cross multiply
    554,471x = 834,167 × 834,167
  4. Step 4: Simplify right side
    554,471x = 695,834,583,889
  5. Step 5: Solve for x
    x = 695,834,583,889/554,471
  6. Step 6: Final answer
    x = 1,254,952.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.