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Finding the Third Proportional to 415,212.75 and 902,460

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Solution

The third proportional to 415,212.75 and 902,460 is: 1,961,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,212.75 : 902,460 = 902,460 : x
  2. Step 2: Convert to fraction form
    415,212.75/902,460 = 902,460/x
  3. Step 3: Cross multiply
    415,212.75x = 902,460 × 902,460
  4. Step 4: Simplify right side
    415,212.75x = 814,434,051,600
  5. Step 5: Solve for x
    x = 814,434,051,600/415,212.75
  6. Step 6: Final answer
    x = 1,961,486.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.