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Finding the Third Proportional to 240,897 and 508,926

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Solution

The third proportional to 240,897 and 508,926 is: 1,075,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,897 : 508,926 = 508,926 : x
  2. Step 2: Convert to fraction form
    240,897/508,926 = 508,926/x
  3. Step 3: Cross multiply
    240,897x = 508,926 × 508,926
  4. Step 4: Simplify right side
    240,897x = 259,005,673,476
  5. Step 5: Solve for x
    x = 259,005,673,476/240,897
  6. Step 6: Final answer
    x = 1,075,171.85

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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.