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Finding the Third Proportional to 398,856 and 596,928

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Solution

The third proportional to 398,856 and 596,928 is: 893,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,856 : 596,928 = 596,928 : x
  2. Step 2: Convert to fraction form
    398,856/596,928 = 596,928/x
  3. Step 3: Cross multiply
    398,856x = 596,928 × 596,928
  4. Step 4: Simplify right side
    398,856x = 356,323,037,184
  5. Step 5: Solve for x
    x = 356,323,037,184/398,856
  6. Step 6: Final answer
    x = 893,362.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.