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Finding the Third Proportional to 638,391 and 965,200.50

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Solution

The third proportional to 638,391 and 965,200.50 is: 1,459,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,391 : 965,200.50 = 965,200.50 : x
  2. Step 2: Convert to fraction form
    638,391/965,200.50 = 965,200.50/x
  3. Step 3: Cross multiply
    638,391x = 965,200.50 × 965,200.50
  4. Step 4: Simplify right side
    638,391x = 931,612,005,200.25
  5. Step 5: Solve for x
    x = 931,612,005,200.25/638,391
  6. Step 6: Final answer
    x = 1,459,312.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.