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Finding the Third Proportional to 264,496 and 575,632

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Solution

The third proportional to 264,496 and 575,632 is: 1,252,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,496 : 575,632 = 575,632 : x
  2. Step 2: Convert to fraction form
    264,496/575,632 = 575,632/x
  3. Step 3: Cross multiply
    264,496x = 575,632 × 575,632
  4. Step 4: Simplify right side
    264,496x = 331,352,199,424
  5. Step 5: Solve for x
    x = 331,352,199,424/264,496
  6. Step 6: Final answer
    x = 1,252,768.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.