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Finding the Third Proportional to 259,562 and 575,488

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Solution

The third proportional to 259,562 and 575,488 is: 1,275,943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,562 : 575,488 = 575,488 : x
  2. Step 2: Convert to fraction form
    259,562/575,488 = 575,488/x
  3. Step 3: Cross multiply
    259,562x = 575,488 × 575,488
  4. Step 4: Simplify right side
    259,562x = 331,186,438,144
  5. Step 5: Solve for x
    x = 331,186,438,144/259,562
  6. Step 6: Final answer
    x = 1,275,943.47

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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.