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Finding the Third Proportional to 299,280 and 656,714

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Solution

The third proportional to 299,280 and 656,714 is: 1,441,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,280 : 656,714 = 656,714 : x
  2. Step 2: Convert to fraction form
    299,280/656,714 = 656,714/x
  3. Step 3: Cross multiply
    299,280x = 656,714 × 656,714
  4. Step 4: Simplify right side
    299,280x = 431,273,277,796
  5. Step 5: Solve for x
    x = 431,273,277,796/299,280
  6. Step 6: Final answer
    x = 1,441,036.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.