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Finding the Third Proportional to 467,727 and 684,094.50

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Solution

The third proportional to 467,727 and 684,094.50 is: 1,000,552.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,727 : 684,094.50 = 684,094.50 : x
  2. Step 2: Convert to fraction form
    467,727/684,094.50 = 684,094.50/x
  3. Step 3: Cross multiply
    467,727x = 684,094.50 × 684,094.50
  4. Step 4: Simplify right side
    467,727x = 467,985,284,930.25
  5. Step 5: Solve for x
    x = 467,985,284,930.25/467,727
  6. Step 6: Final answer
    x = 1,000,552.21

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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.