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Finding the Third Proportional to 245,918 and 376,017

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Solution

The third proportional to 245,918 and 376,017 is: 574,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,918 : 376,017 = 376,017 : x
  2. Step 2: Convert to fraction form
    245,918/376,017 = 376,017/x
  3. Step 3: Cross multiply
    245,918x = 376,017 × 376,017
  4. Step 4: Simplify right side
    245,918x = 141,388,784,289
  5. Step 5: Solve for x
    x = 141,388,784,289/245,918
  6. Step 6: Final answer
    x = 574,942.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.