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Finding the Third Proportional to 724,524.75 and 1,064,643.75

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Solution

The third proportional to 724,524.75 and 1,064,643.75 is: 1,564,427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,524.75 : 1,064,643.75 = 1,064,643.75 : x
  2. Step 2: Convert to fraction form
    724,524.75/1,064,643.75 = 1,064,643.75/x
  3. Step 3: Cross multiply
    724,524.75x = 1,064,643.75 × 1,064,643.75
  4. Step 4: Simplify right side
    724,524.75x = 1,133,466,314,414.06
  5. Step 5: Solve for x
    x = 1,133,466,314,414.06/724,524.75
  6. Step 6: Final answer
    x = 1,564,427.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.