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Finding the Third Proportional to 292,066.13 and 441,996.38

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Solution

The third proportional to 292,066.13 and 441,996.38 is: 668,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,066.13 : 441,996.38 = 441,996.38 : x
  2. Step 2: Convert to fraction form
    292,066.13/441,996.38 = 441,996.38/x
  3. Step 3: Cross multiply
    292,066.13x = 441,996.38 × 441,996.38
  4. Step 4: Simplify right side
    292,066.13x = 195,360,795,513.14
  5. Step 5: Solve for x
    x = 195,360,795,513.14/292,066.13
  6. Step 6: Final answer
    x = 668,892.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.