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Finding the Third Proportional to 241,666 and 529,810

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Solution

The third proportional to 241,666 and 529,810 is: 1,161,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,666 : 529,810 = 529,810 : x
  2. Step 2: Convert to fraction form
    241,666/529,810 = 529,810/x
  3. Step 3: Cross multiply
    241,666x = 529,810 × 529,810
  4. Step 4: Simplify right side
    241,666x = 280,698,636,100
  5. Step 5: Solve for x
    x = 280,698,636,100/241,666
  6. Step 6: Final answer
    x = 1,161,514.80

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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.