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Finding the Third Proportional to 292,032 and 633,636

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Solution

The third proportional to 292,032 and 633,636 is: 1,374,830.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,032 : 633,636 = 633,636 : x
  2. Step 2: Convert to fraction form
    292,032/633,636 = 633,636/x
  3. Step 3: Cross multiply
    292,032x = 633,636 × 633,636
  4. Step 4: Simplify right side
    292,032x = 401,494,580,496
  5. Step 5: Solve for x
    x = 401,494,580,496/292,032
  6. Step 6: Final answer
    x = 1,374,830.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.