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Finding the Third Proportional to 357,832 and 771,718

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Solution

The third proportional to 357,832 and 771,718 is: 1,664,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,832 : 771,718 = 771,718 : x
  2. Step 2: Convert to fraction form
    357,832/771,718 = 771,718/x
  3. Step 3: Cross multiply
    357,832x = 771,718 × 771,718
  4. Step 4: Simplify right side
    357,832x = 595,548,671,524
  5. Step 5: Solve for x
    x = 595,548,671,524/357,832
  6. Step 6: Final answer
    x = 1,664,324.80

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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.