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Finding the Third Proportional to 244,907.93 and 378,275.06

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Solution

The third proportional to 244,907.93 and 378,275.06 is: 584,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,907.93 : 378,275.06 = 378,275.06 : x
  2. Step 2: Convert to fraction form
    244,907.93/378,275.06 = 378,275.06/x
  3. Step 3: Cross multiply
    244,907.93x = 378,275.06 × 378,275.06
  4. Step 4: Simplify right side
    244,907.93x = 143,092,022,909.38
  5. Step 5: Solve for x
    x = 143,092,022,909.38/244,907.93
  6. Step 6: Final answer
    x = 584,268.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.