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Finding the Third Proportional to 240,898 and 508,928

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Solution

The third proportional to 240,898 and 508,928 is: 1,075,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,898 : 508,928 = 508,928 : x
  2. Step 2: Convert to fraction form
    240,898/508,928 = 508,928/x
  3. Step 3: Cross multiply
    240,898x = 508,928 × 508,928
  4. Step 4: Simplify right side
    240,898x = 259,007,709,184
  5. Step 5: Solve for x
    x = 259,007,709,184/240,898
  6. Step 6: Final answer
    x = 1,075,175.84

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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.