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Finding the Third Proportional to 386,274 and 596,920.50

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Solution

The third proportional to 386,274 and 596,920.50 is: 922,438.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,274 : 596,920.50 = 596,920.50 : x
  2. Step 2: Convert to fraction form
    386,274/596,920.50 = 596,920.50/x
  3. Step 3: Cross multiply
    386,274x = 596,920.50 × 596,920.50
  4. Step 4: Simplify right side
    386,274x = 356,314,083,320.25
  5. Step 5: Solve for x
    x = 356,314,083,320.25/386,274
  6. Step 6: Final answer
    x = 922,438.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.