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Finding the Third Proportional to 199,531 and 430,714

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Solution

The third proportional to 199,531 and 430,714 is: 929,753.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,531 : 430,714 = 430,714 : x
  2. Step 2: Convert to fraction form
    199,531/430,714 = 430,714/x
  3. Step 3: Cross multiply
    199,531x = 430,714 × 430,714
  4. Step 4: Simplify right side
    199,531x = 185,514,549,796
  5. Step 5: Solve for x
    x = 185,514,549,796/199,531
  6. Step 6: Final answer
    x = 929,753.02

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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.