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Finding the Third Proportional to 342,792 and 727,056

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Solution

The third proportional to 342,792 and 727,056 is: 1,542,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,792 : 727,056 = 727,056 : x
  2. Step 2: Convert to fraction form
    342,792/727,056 = 727,056/x
  3. Step 3: Cross multiply
    342,792x = 727,056 × 727,056
  4. Step 4: Simplify right side
    342,792x = 528,610,427,136
  5. Step 5: Solve for x
    x = 528,610,427,136/342,792
  6. Step 6: Final answer
    x = 1,542,073.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.