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Finding the Third Proportional to 282,816 and 594,714

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Solution

The third proportional to 282,816 and 594,714 is: 1,250,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,816 : 594,714 = 594,714 : x
  2. Step 2: Convert to fraction form
    282,816/594,714 = 594,714/x
  3. Step 3: Cross multiply
    282,816x = 594,714 × 594,714
  4. Step 4: Simplify right side
    282,816x = 353,684,741,796
  5. Step 5: Solve for x
    x = 353,684,741,796/282,816
  6. Step 6: Final answer
    x = 1,250,582.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.