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Finding the Third Proportional to 259,569 and 575,502

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Solution

The third proportional to 259,569 and 575,502 is: 1,275,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,569 : 575,502 = 575,502 : x
  2. Step 2: Convert to fraction form
    259,569/575,502 = 575,502/x
  3. Step 3: Cross multiply
    259,569x = 575,502 × 575,502
  4. Step 4: Simplify right side
    259,569x = 331,202,552,004
  5. Step 5: Solve for x
    x = 331,202,552,004/259,569
  6. Step 6: Final answer
    x = 1,275,971.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.