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Finding the Third Proportional to 264,627 and 573,723

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Solution

The third proportional to 264,627 and 573,723 is: 1,243,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,627 : 573,723 = 573,723 : x
  2. Step 2: Convert to fraction form
    264,627/573,723 = 573,723/x
  3. Step 3: Cross multiply
    264,627x = 573,723 × 573,723
  4. Step 4: Simplify right side
    264,627x = 329,158,080,729
  5. Step 5: Solve for x
    x = 329,158,080,729/264,627
  6. Step 6: Final answer
    x = 1,243,856.75

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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.