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Finding the Third Proportional to 292,648 and 638,475

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Solution

The third proportional to 292,648 and 638,475 is: 1,392,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,648 : 638,475 = 638,475 : x
  2. Step 2: Convert to fraction form
    292,648/638,475 = 638,475/x
  3. Step 3: Cross multiply
    292,648x = 638,475 × 638,475
  4. Step 4: Simplify right side
    292,648x = 407,650,325,625
  5. Step 5: Solve for x
    x = 407,650,325,625/292,648
  6. Step 6: Final answer
    x = 1,392,971.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.