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Finding the Third Proportional to 240,333 and 376,998

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Solution

The third proportional to 240,333 and 376,998 is: 591,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,333 : 376,998 = 376,998 : x
  2. Step 2: Convert to fraction form
    240,333/376,998 = 376,998/x
  3. Step 3: Cross multiply
    240,333x = 376,998 × 376,998
  4. Step 4: Simplify right side
    240,333x = 142,127,492,004
  5. Step 5: Solve for x
    x = 142,127,492,004/240,333
  6. Step 6: Final answer
    x = 591,377.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.