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Finding the Third Proportional to 292,203 and 628,792

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Solution

The third proportional to 292,203 and 628,792 is: 1,353,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,203 : 628,792 = 628,792 : x
  2. Step 2: Convert to fraction form
    292,203/628,792 = 628,792/x
  3. Step 3: Cross multiply
    292,203x = 628,792 × 628,792
  4. Step 4: Simplify right side
    292,203x = 395,379,379,264
  5. Step 5: Solve for x
    x = 395,379,379,264/292,203
  6. Step 6: Final answer
    x = 1,353,098.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.