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Finding the Third Proportional to 415,100 and 607,844

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Solution

The third proportional to 415,100 and 607,844 is: 890,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,100 : 607,844 = 607,844 : x
  2. Step 2: Convert to fraction form
    415,100/607,844 = 607,844/x
  3. Step 3: Cross multiply
    415,100x = 607,844 × 607,844
  4. Step 4: Simplify right side
    415,100x = 369,474,328,336
  5. Step 5: Solve for x
    x = 369,474,328,336/415,100
  6. Step 6: Final answer
    x = 890,085.11

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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.