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Finding the Third Proportional to 399,311 and 872,311.50

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Solution

The third proportional to 399,311 and 872,311.50 is: 1,905,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,311 : 872,311.50 = 872,311.50 : x
  2. Step 2: Convert to fraction form
    399,311/872,311.50 = 872,311.50/x
  3. Step 3: Cross multiply
    399,311x = 872,311.50 × 872,311.50
  4. Step 4: Simplify right side
    399,311x = 760,927,353,032.25
  5. Step 5: Solve for x
    x = 760,927,353,032.25/399,311
  6. Step 6: Final answer
    x = 1,905,600.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.