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Finding the Third Proportional to 413,949 and 607,293

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Solution

The third proportional to 413,949 and 607,293 is: 890,942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,949 : 607,293 = 607,293 : x
  2. Step 2: Convert to fraction form
    413,949/607,293 = 607,293/x
  3. Step 3: Cross multiply
    413,949x = 607,293 × 607,293
  4. Step 4: Simplify right side
    413,949x = 368,804,787,849
  5. Step 5: Solve for x
    x = 368,804,787,849/413,949
  6. Step 6: Final answer
    x = 890,942.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.