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Finding the Third Proportional to 445,832 and 684,300

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Solution

The third proportional to 445,832 and 684,300 is: 1,050,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,832 : 684,300 = 684,300 : x
  2. Step 2: Convert to fraction form
    445,832/684,300 = 684,300/x
  3. Step 3: Cross multiply
    445,832x = 684,300 × 684,300
  4. Step 4: Simplify right side
    445,832x = 468,266,490,000
  5. Step 5: Solve for x
    x = 468,266,490,000/445,832
  6. Step 6: Final answer
    x = 1,050,320.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.