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Finding the Third Proportional to 678,809.53 and 1,006,473.09

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Solution

The third proportional to 678,809.53 and 1,006,473.09 is: 1,492,300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,809.53 : 1,006,473.09 = 1,006,473.09 : x
  2. Step 2: Convert to fraction form
    678,809.53/1,006,473.09 = 1,006,473.09/x
  3. Step 3: Cross multiply
    678,809.53x = 1,006,473.09 × 1,006,473.09
  4. Step 4: Simplify right side
    678,809.53x = 1,012,988,088,442.70
  5. Step 5: Solve for x
    x = 1,012,988,088,442.70/678,809.53
  6. Step 6: Final answer
    x = 1,492,300.92

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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.