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Finding the Third Proportional to 357,830 and 771,714

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Solution

The third proportional to 357,830 and 771,714 is: 1,664,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,830 : 771,714 = 771,714 : x
  2. Step 2: Convert to fraction form
    357,830/771,714 = 771,714/x
  3. Step 3: Cross multiply
    357,830x = 771,714 × 771,714
  4. Step 4: Simplify right side
    357,830x = 595,542,497,796
  5. Step 5: Solve for x
    x = 595,542,497,796/357,830
  6. Step 6: Final answer
    x = 1,664,316.85

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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.