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Finding the Third Proportional to 304,714 and 661,844

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Solution

The third proportional to 304,714 and 661,844 is: 1,437,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,714 : 661,844 = 661,844 : x
  2. Step 2: Convert to fraction form
    304,714/661,844 = 661,844/x
  3. Step 3: Cross multiply
    304,714x = 661,844 × 661,844
  4. Step 4: Simplify right side
    304,714x = 438,037,480,336
  5. Step 5: Solve for x
    x = 438,037,480,336/304,714
  6. Step 6: Final answer
    x = 1,437,536.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.