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Finding the Third Proportional to 254,546 and 575,101

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Solution

The third proportional to 254,546 and 575,101 is: 1,299,337.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,546 : 575,101 = 575,101 : x
  2. Step 2: Convert to fraction form
    254,546/575,101 = 575,101/x
  3. Step 3: Cross multiply
    254,546x = 575,101 × 575,101
  4. Step 4: Simplify right side
    254,546x = 330,741,160,201
  5. Step 5: Solve for x
    x = 330,741,160,201/254,546
  6. Step 6: Final answer
    x = 1,299,337.49

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.