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Finding the Third Proportional to 240,824 and 381,646

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Solution

The third proportional to 240,824 and 381,646 is: 604,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,824 : 381,646 = 381,646 : x
  2. Step 2: Convert to fraction form
    240,824/381,646 = 381,646/x
  3. Step 3: Cross multiply
    240,824x = 381,646 × 381,646
  4. Step 4: Simplify right side
    240,824x = 145,653,669,316
  5. Step 5: Solve for x
    x = 145,653,669,316/240,824
  6. Step 6: Final answer
    x = 604,813.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.