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Finding the Third Proportional to 269,064 and 416,376

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Solution

The third proportional to 269,064 and 416,376 is: 644,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,064 : 416,376 = 416,376 : x
  2. Step 2: Convert to fraction form
    269,064/416,376 = 416,376/x
  3. Step 3: Cross multiply
    269,064x = 416,376 × 416,376
  4. Step 4: Simplify right side
    269,064x = 173,368,973,376
  5. Step 5: Solve for x
    x = 173,368,973,376/269,064
  6. Step 6: Final answer
    x = 644,341.02

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Why These Related Problems?

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