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Finding the Third Proportional to 349,903.13 and 724,713.75

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Solution

The third proportional to 349,903.13 and 724,713.75 is: 1,501,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,903.13 : 724,713.75 = 724,713.75 : x
  2. Step 2: Convert to fraction form
    349,903.13/724,713.75 = 724,713.75/x
  3. Step 3: Cross multiply
    349,903.13x = 724,713.75 × 724,713.75
  4. Step 4: Simplify right side
    349,903.13x = 525,210,019,439.06
  5. Step 5: Solve for x
    x = 525,210,019,439.06/349,903.13
  6. Step 6: Final answer
    x = 1,501,015.52

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.