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Finding the Third Proportional to 294,924 and 645,042.75

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Solution

The third proportional to 294,924 and 645,042.75 is: 1,410,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,924 : 645,042.75 = 645,042.75 : x
  2. Step 2: Convert to fraction form
    294,924/645,042.75 = 645,042.75/x
  3. Step 3: Cross multiply
    294,924x = 645,042.75 × 645,042.75
  4. Step 4: Simplify right side
    294,924x = 416,080,149,327.56
  5. Step 5: Solve for x
    x = 416,080,149,327.56/294,924
  6. Step 6: Final answer
    x = 1,410,804.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.