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Finding the Third Proportional to 678,800.50 and 1,006,458.50

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Solution

The third proportional to 678,800.50 and 1,006,458.50 is: 1,492,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,800.50 : 1,006,458.50 = 1,006,458.50 : x
  2. Step 2: Convert to fraction form
    678,800.50/1,006,458.50 = 1,006,458.50/x
  3. Step 3: Cross multiply
    678,800.50x = 1,006,458.50 × 1,006,458.50
  4. Step 4: Simplify right side
    678,800.50x = 1,012,958,712,222.25
  5. Step 5: Solve for x
    x = 1,012,958,712,222.25/678,800.50
  6. Step 6: Final answer
    x = 1,492,277.50

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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.