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Finding the Third Proportional to 193,929.19 and 450,658.69

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Solution

The third proportional to 193,929.19 and 450,658.69 is: 1,047,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,929.19 : 450,658.69 = 450,658.69 : x
  2. Step 2: Convert to fraction form
    193,929.19/450,658.69 = 450,658.69/x
  3. Step 3: Cross multiply
    193,929.19x = 450,658.69 × 450,658.69
  4. Step 4: Simplify right side
    193,929.19x = 203,093,252,619.22
  5. Step 5: Solve for x
    x = 203,093,252,619.22/193,929.19
  6. Step 6: Final answer
    x = 1,047,254.70

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.