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Finding the Third Proportional to 244,644 and 376,146

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Solution

The third proportional to 244,644 and 376,146 is: 578,333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,644 : 376,146 = 376,146 : x
  2. Step 2: Convert to fraction form
    244,644/376,146 = 376,146/x
  3. Step 3: Cross multiply
    244,644x = 376,146 × 376,146
  4. Step 4: Simplify right side
    244,644x = 141,485,813,316
  5. Step 5: Solve for x
    x = 141,485,813,316/244,644
  6. Step 6: Final answer
    x = 578,333.47

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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.