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Finding the Third Proportional to 264,753 and 573,732

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Solution

The third proportional to 264,753 and 573,732 is: 1,243,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,753 : 573,732 = 573,732 : x
  2. Step 2: Convert to fraction form
    264,753/573,732 = 573,732/x
  3. Step 3: Cross multiply
    264,753x = 573,732 × 573,732
  4. Step 4: Simplify right side
    264,753x = 329,168,407,824
  5. Step 5: Solve for x
    x = 329,168,407,824/264,753
  6. Step 6: Final answer
    x = 1,243,303.79

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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.