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Finding the Third Proportional to 415,236 and 650,529.50

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Solution

The third proportional to 415,236 and 650,529.50 is: 1,019,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,236 : 650,529.50 = 650,529.50 : x
  2. Step 2: Convert to fraction form
    415,236/650,529.50 = 650,529.50/x
  3. Step 3: Cross multiply
    415,236x = 650,529.50 × 650,529.50
  4. Step 4: Simplify right side
    415,236x = 423,188,630,370.25
  5. Step 5: Solve for x
    x = 423,188,630,370.25/415,236
  6. Step 6: Final answer
    x = 1,019,152.07

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.