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Finding the Third Proportional to 678,003 and 920,812.50

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Solution

The third proportional to 678,003 and 920,812.50 is: 1,250,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,003 : 920,812.50 = 920,812.50 : x
  2. Step 2: Convert to fraction form
    678,003/920,812.50 = 920,812.50/x
  3. Step 3: Cross multiply
    678,003x = 920,812.50 × 920,812.50
  4. Step 4: Simplify right side
    678,003x = 847,895,660,156.25
  5. Step 5: Solve for x
    x = 847,895,660,156.25/678,003
  6. Step 6: Final answer
    x = 1,250,578.04

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.