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Finding the Third Proportional to 240,899 and 508,929

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Solution

The third proportional to 240,899 and 508,929 is: 1,075,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,899 : 508,929 = 508,929 : x
  2. Step 2: Convert to fraction form
    240,899/508,929 = 508,929/x
  3. Step 3: Cross multiply
    240,899x = 508,929 × 508,929
  4. Step 4: Simplify right side
    240,899x = 259,008,727,041
  5. Step 5: Solve for x
    x = 259,008,727,041/240,899
  6. Step 6: Final answer
    x = 1,075,175.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.