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Finding the Third Proportional to 505,253.81 and 1,076,648.63

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Solution

The third proportional to 505,253.81 and 1,076,648.63 is: 2,294,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,253.81 : 1,076,648.63 = 1,076,648.63 : x
  2. Step 2: Convert to fraction form
    505,253.81/1,076,648.63 = 1,076,648.63/x
  3. Step 3: Cross multiply
    505,253.81x = 1,076,648.63 × 1,076,648.63
  4. Step 4: Simplify right side
    505,253.81x = 1,159,172,261,714.39
  5. Step 5: Solve for x
    x = 1,159,172,261,714.39/505,253.81
  6. Step 6: Final answer
    x = 2,294,237.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.