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Finding the Third Proportional to 263,939 and 575,509

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Solution

The third proportional to 263,939 and 575,509 is: 1,254,875.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,939 : 575,509 = 575,509 : x
  2. Step 2: Convert to fraction form
    263,939/575,509 = 575,509/x
  3. Step 3: Cross multiply
    263,939x = 575,509 × 575,509
  4. Step 4: Simplify right side
    263,939x = 331,210,609,081
  5. Step 5: Solve for x
    x = 331,210,609,081/263,939
  6. Step 6: Final answer
    x = 1,254,875.59

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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.