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Finding the Third Proportional to 292,852.97 and 445,464.56

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Solution

The third proportional to 292,852.97 and 445,464.56 is: 677,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,852.97 : 445,464.56 = 445,464.56 : x
  2. Step 2: Convert to fraction form
    292,852.97/445,464.56 = 445,464.56/x
  3. Step 3: Cross multiply
    292,852.97x = 445,464.56 × 445,464.56
  4. Step 4: Simplify right side
    292,852.97x = 198,438,676,443.32
  5. Step 5: Solve for x
    x = 198,438,676,443.32/292,852.97
  6. Step 6: Final answer
    x = 677,605.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.