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Finding the Third Proportional to 414,752 and 613,376

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Solution

The third proportional to 414,752 and 613,376 is: 907,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,752 : 613,376 = 613,376 : x
  2. Step 2: Convert to fraction form
    414,752/613,376 = 613,376/x
  3. Step 3: Cross multiply
    414,752x = 613,376 × 613,376
  4. Step 4: Simplify right side
    414,752x = 376,230,117,376
  5. Step 5: Solve for x
    x = 376,230,117,376/414,752
  6. Step 6: Final answer
    x = 907,120.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.