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Finding the Third Proportional to 267,740 and 557,673.50

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Solution

The third proportional to 267,740 and 557,673.50 is: 1,161,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,740 : 557,673.50 = 557,673.50 : x
  2. Step 2: Convert to fraction form
    267,740/557,673.50 = 557,673.50/x
  3. Step 3: Cross multiply
    267,740x = 557,673.50 × 557,673.50
  4. Step 4: Simplify right side
    267,740x = 310,999,732,602.25
  5. Step 5: Solve for x
    x = 310,999,732,602.25/267,740
  6. Step 6: Final answer
    x = 1,161,573.66

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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.