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Finding the Third Proportional to 315,048 and 505,376

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Solution

The third proportional to 315,048 and 505,376 is: 810,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,048 : 505,376 = 505,376 : x
  2. Step 2: Convert to fraction form
    315,048/505,376 = 505,376/x
  3. Step 3: Cross multiply
    315,048x = 505,376 × 505,376
  4. Step 4: Simplify right side
    315,048x = 255,404,901,376
  5. Step 5: Solve for x
    x = 255,404,901,376/315,048
  6. Step 6: Final answer
    x = 810,685.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.