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Finding the Third Proportional to 351,224.81 and 761,499.56

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Solution

The third proportional to 351,224.81 and 761,499.56 is: 1,651,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,224.81 : 761,499.56 = 761,499.56 : x
  2. Step 2: Convert to fraction form
    351,224.81/761,499.56 = 761,499.56/x
  3. Step 3: Cross multiply
    351,224.81x = 761,499.56 × 761,499.56
  4. Step 4: Simplify right side
    351,224.81x = 579,881,583,687.69
  5. Step 5: Solve for x
    x = 579,881,583,687.69/351,224.81
  6. Step 6: Final answer
    x = 1,651,026.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.