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Finding the Third Proportional to 377,504 and 814,048

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Solution

The third proportional to 377,504 and 814,048 is: 1,755,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,504 : 814,048 = 814,048 : x
  2. Step 2: Convert to fraction form
    377,504/814,048 = 814,048/x
  3. Step 3: Cross multiply
    377,504x = 814,048 × 814,048
  4. Step 4: Simplify right side
    377,504x = 662,674,146,304
  5. Step 5: Solve for x
    x = 662,674,146,304/377,504
  6. Step 6: Final answer
    x = 1,755,409.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.