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Finding the Third Proportional to 264,875 and 573,744

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Solution

The third proportional to 264,875 and 573,744 is: 1,242,783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,875 : 573,744 = 573,744 : x
  2. Step 2: Convert to fraction form
    264,875/573,744 = 573,744/x
  3. Step 3: Cross multiply
    264,875x = 573,744 × 573,744
  4. Step 4: Simplify right side
    264,875x = 329,182,177,536
  5. Step 5: Solve for x
    x = 329,182,177,536/264,875
  6. Step 6: Final answer
    x = 1,242,783.11

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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.