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Finding the Third Proportional to 241,505 and 529,666

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Solution

The third proportional to 241,505 and 529,666 is: 1,161,657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,505 : 529,666 = 529,666 : x
  2. Step 2: Convert to fraction form
    241,505/529,666 = 529,666/x
  3. Step 3: Cross multiply
    241,505x = 529,666 × 529,666
  4. Step 4: Simplify right side
    241,505x = 280,546,071,556
  5. Step 5: Solve for x
    x = 280,546,071,556/241,505
  6. Step 6: Final answer
    x = 1,161,657.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.