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Finding the Third Proportional to 263,142 and 544,333.50

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Solution

The third proportional to 263,142 and 544,333.50 is: 1,126,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,142 : 544,333.50 = 544,333.50 : x
  2. Step 2: Convert to fraction form
    263,142/544,333.50 = 544,333.50/x
  3. Step 3: Cross multiply
    263,142x = 544,333.50 × 544,333.50
  4. Step 4: Simplify right side
    263,142x = 296,298,959,222.25
  5. Step 5: Solve for x
    x = 296,298,959,222.25/263,142
  6. Step 6: Final answer
    x = 1,126,004.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.