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Finding the Third Proportional to 467,983 and 684,424.50

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Solution

The third proportional to 467,983 and 684,424.50 is: 1,000,969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,983 : 684,424.50 = 684,424.50 : x
  2. Step 2: Convert to fraction form
    467,983/684,424.50 = 684,424.50/x
  3. Step 3: Cross multiply
    467,983x = 684,424.50 × 684,424.50
  4. Step 4: Simplify right side
    467,983x = 468,436,896,200.25
  5. Step 5: Solve for x
    x = 468,436,896,200.25/467,983
  6. Step 6: Final answer
    x = 1,000,969.90

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.