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Finding the Third Proportional to 241,714.76 and 503,277.68

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Solution

The third proportional to 241,714.76 and 503,277.68 is: 1,047,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,714.76 : 503,277.68 = 503,277.68 : x
  2. Step 2: Convert to fraction form
    241,714.76/503,277.68 = 503,277.68/x
  3. Step 3: Cross multiply
    241,714.76x = 503,277.68 × 503,277.68
  4. Step 4: Simplify right side
    241,714.76x = 253,288,422,871.63
  5. Step 5: Solve for x
    x = 253,288,422,871.63/241,714.76
  6. Step 6: Final answer
    x = 1,047,881.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.