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Finding the Third Proportional to 285,714 and 452,029

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Solution

The third proportional to 285,714 and 452,029 is: 715,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,714 : 452,029 = 452,029 : x
  2. Step 2: Convert to fraction form
    285,714/452,029 = 452,029/x
  3. Step 3: Cross multiply
    285,714x = 452,029 × 452,029
  4. Step 4: Simplify right side
    285,714x = 204,330,216,841
  5. Step 5: Solve for x
    x = 204,330,216,841/285,714
  6. Step 6: Final answer
    x = 715,156.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.