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Finding the Third Proportional to 316,176 and 500,496

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Solution

The third proportional to 316,176 and 500,496 is: 792,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,176 : 500,496 = 500,496 : x
  2. Step 2: Convert to fraction form
    316,176/500,496 = 500,496/x
  3. Step 3: Cross multiply
    316,176x = 500,496 × 500,496
  4. Step 4: Simplify right side
    316,176x = 250,496,246,016
  5. Step 5: Solve for x
    x = 250,496,246,016/316,176
  6. Step 6: Final answer
    x = 792,268.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.