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Finding the Third Proportional to 386,308 and 596,958

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Solution

The third proportional to 386,308 and 596,958 is: 922,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,308 : 596,958 = 596,958 : x
  2. Step 2: Convert to fraction form
    386,308/596,958 = 596,958/x
  3. Step 3: Cross multiply
    386,308x = 596,958 × 596,958
  4. Step 4: Simplify right side
    386,308x = 356,358,853,764
  5. Step 5: Solve for x
    x = 356,358,853,764/386,308
  6. Step 6: Final answer
    x = 922,473.40

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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.