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Finding the Third Proportional to 244,411 and 376,103

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Solution

The third proportional to 244,411 and 376,103 is: 578,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,411 : 376,103 = 376,103 : x
  2. Step 2: Convert to fraction form
    244,411/376,103 = 376,103/x
  3. Step 3: Cross multiply
    244,411x = 376,103 × 376,103
  4. Step 4: Simplify right side
    244,411x = 141,453,466,609
  5. Step 5: Solve for x
    x = 141,453,466,609/244,411
  6. Step 6: Final answer
    x = 578,752.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.