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Finding the Third Proportional to 678,809.25 and 1,006,472.25

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Solution

The third proportional to 678,809.25 and 1,006,472.25 is: 1,492,299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,809.25 : 1,006,472.25 = 1,006,472.25 : x
  2. Step 2: Convert to fraction form
    678,809.25/1,006,472.25 = 1,006,472.25/x
  3. Step 3: Cross multiply
    678,809.25x = 1,006,472.25 × 1,006,472.25
  4. Step 4: Simplify right side
    678,809.25x = 1,012,986,390,020.06
  5. Step 5: Solve for x
    x = 1,012,986,390,020.06/678,809.25
  6. Step 6: Final answer
    x = 1,492,299.04

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.