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Finding the Third Proportional to 292,202 and 628,790

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Solution

The third proportional to 292,202 and 628,790 is: 1,353,094.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,202 : 628,790 = 628,790 : x
  2. Step 2: Convert to fraction form
    292,202/628,790 = 628,790/x
  3. Step 3: Cross multiply
    292,202x = 628,790 × 628,790
  4. Step 4: Simplify right side
    292,202x = 395,376,864,100
  5. Step 5: Solve for x
    x = 395,376,864,100/292,202
  6. Step 6: Final answer
    x = 1,353,094.31

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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.