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Finding the Third Proportional to 261,792 and 546,912

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Solution

The third proportional to 261,792 and 546,912 is: 1,142,558.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,792 : 546,912 = 546,912 : x
  2. Step 2: Convert to fraction form
    261,792/546,912 = 546,912/x
  3. Step 3: Cross multiply
    261,792x = 546,912 × 546,912
  4. Step 4: Simplify right side
    261,792x = 299,112,735,744
  5. Step 5: Solve for x
    x = 299,112,735,744/261,792
  6. Step 6: Final answer
    x = 1,142,558.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.