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Finding the Third Proportional to 665,927.50 and 1,438,262

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Solution

The third proportional to 665,927.50 and 1,438,262 is: 3,106,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,927.50 : 1,438,262 = 1,438,262 : x
  2. Step 2: Convert to fraction form
    665,927.50/1,438,262 = 1,438,262/x
  3. Step 3: Cross multiply
    665,927.50x = 1,438,262 × 1,438,262
  4. Step 4: Simplify right side
    665,927.50x = 2,068,597,580,644
  5. Step 5: Solve for x
    x = 2,068,597,580,644/665,927.50
  6. Step 6: Final answer
    x = 3,106,340.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.