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Finding the Third Proportional to 415,093 and 607,836

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Solution

The third proportional to 415,093 and 607,836 is: 890,076.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,093 : 607,836 = 607,836 : x
  2. Step 2: Convert to fraction form
    415,093/607,836 = 607,836/x
  3. Step 3: Cross multiply
    415,093x = 607,836 × 607,836
  4. Step 4: Simplify right side
    415,093x = 369,464,602,896
  5. Step 5: Solve for x
    x = 369,464,602,896/415,093
  6. Step 6: Final answer
    x = 890,076.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.