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Finding the Third Proportional to 296,399.25 and 623,772.56

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Solution

The third proportional to 296,399.25 and 623,772.56 is: 1,312,730.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,399.25 : 623,772.56 = 623,772.56 : x
  2. Step 2: Convert to fraction form
    296,399.25/623,772.56 = 623,772.56/x
  3. Step 3: Cross multiply
    296,399.25x = 623,772.56 × 623,772.56
  4. Step 4: Simplify right side
    296,399.25x = 389,092,209,727.82
  5. Step 5: Solve for x
    x = 389,092,209,727.82/296,399.25
  6. Step 6: Final answer
    x = 1,312,730.08

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.