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Finding the Third Proportional to 294,241.31 and 623,797.13

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Solution

The third proportional to 294,241.31 and 623,797.13 is: 1,322,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,241.31 : 623,797.13 = 623,797.13 : x
  2. Step 2: Convert to fraction form
    294,241.31/623,797.13 = 623,797.13/x
  3. Step 3: Cross multiply
    294,241.31x = 623,797.13 × 623,797.13
  4. Step 4: Simplify right side
    294,241.31x = 389,122,853,158.27
  5. Step 5: Solve for x
    x = 389,122,853,158.27/294,241.31
  6. Step 6: Final answer
    x = 1,322,461.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.