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Finding the Third Proportional to 244,017 and 364,585.50

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Solution

The third proportional to 244,017 and 364,585.50 is: 544,726.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,017 : 364,585.50 = 364,585.50 : x
  2. Step 2: Convert to fraction form
    244,017/364,585.50 = 364,585.50/x
  3. Step 3: Cross multiply
    244,017x = 364,585.50 × 364,585.50
  4. Step 4: Simplify right side
    244,017x = 132,922,586,810.25
  5. Step 5: Solve for x
    x = 132,922,586,810.25/244,017
  6. Step 6: Final answer
    x = 544,726.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.