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Finding the Third Proportional to 366,334.50 and 781,056

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Solution

The third proportional to 366,334.50 and 781,056 is: 1,665,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,334.50 : 781,056 = 781,056 : x
  2. Step 2: Convert to fraction form
    366,334.50/781,056 = 781,056/x
  3. Step 3: Cross multiply
    366,334.50x = 781,056 × 781,056
  4. Step 4: Simplify right side
    366,334.50x = 610,048,475,136
  5. Step 5: Solve for x
    x = 610,048,475,136/366,334.50
  6. Step 6: Final answer
    x = 1,665,277.16

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.