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Finding the Third Proportional to 264,714 and 566,364

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Solution

The third proportional to 264,714 and 566,364 is: 1,211,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,714 : 566,364 = 566,364 : x
  2. Step 2: Convert to fraction form
    264,714/566,364 = 566,364/x
  3. Step 3: Cross multiply
    264,714x = 566,364 × 566,364
  4. Step 4: Simplify right side
    264,714x = 320,768,180,496
  5. Step 5: Solve for x
    x = 320,768,180,496/264,714
  6. Step 6: Final answer
    x = 1,211,753.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.