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Finding the Third Proportional to 314,122 and 500,315

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Solution

The third proportional to 314,122 and 500,315 is: 796,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,122 : 500,315 = 500,315 : x
  2. Step 2: Convert to fraction form
    314,122/500,315 = 500,315/x
  3. Step 3: Cross multiply
    314,122x = 500,315 × 500,315
  4. Step 4: Simplify right side
    314,122x = 250,315,099,225
  5. Step 5: Solve for x
    x = 250,315,099,225/314,122
  6. Step 6: Final answer
    x = 796,872.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.