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Finding the Third Proportional to 240,896 and 508,924

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Solution

The third proportional to 240,896 and 508,924 is: 1,075,167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,896 : 508,924 = 508,924 : x
  2. Step 2: Convert to fraction form
    240,896/508,924 = 508,924/x
  3. Step 3: Cross multiply
    240,896x = 508,924 × 508,924
  4. Step 4: Simplify right side
    240,896x = 259,003,637,776
  5. Step 5: Solve for x
    x = 259,003,637,776/240,896
  6. Step 6: Final answer
    x = 1,075,167.86

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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.