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Finding the Third Proportional to 513,627.75 and 798,417

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Solution

The third proportional to 513,627.75 and 798,417 is: 1,241,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,627.75 : 798,417 = 798,417 : x
  2. Step 2: Convert to fraction form
    513,627.75/798,417 = 798,417/x
  3. Step 3: Cross multiply
    513,627.75x = 798,417 × 798,417
  4. Step 4: Simplify right side
    513,627.75x = 637,469,705,889
  5. Step 5: Solve for x
    x = 637,469,705,889/513,627.75
  6. Step 6: Final answer
    x = 1,241,112.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.