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Finding the Third Proportional to 292,511 and 632,997

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Solution

The third proportional to 292,511 and 632,997 is: 1,369,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,511 : 632,997 = 632,997 : x
  2. Step 2: Convert to fraction form
    292,511/632,997 = 632,997/x
  3. Step 3: Cross multiply
    292,511x = 632,997 × 632,997
  4. Step 4: Simplify right side
    292,511x = 400,685,202,009
  5. Step 5: Solve for x
    x = 400,685,202,009/292,511
  6. Step 6: Final answer
    x = 1,369,812.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.