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Finding the Third Proportional to 444,123 and 628,681.50

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Solution

The third proportional to 444,123 and 628,681.50 is: 889,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,123 : 628,681.50 = 628,681.50 : x
  2. Step 2: Convert to fraction form
    444,123/628,681.50 = 628,681.50/x
  3. Step 3: Cross multiply
    444,123x = 628,681.50 × 628,681.50
  4. Step 4: Simplify right side
    444,123x = 395,240,428,442.25
  5. Step 5: Solve for x
    x = 395,240,428,442.25/444,123
  6. Step 6: Final answer
    x = 889,934.61

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.