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Finding the Third Proportional to 272,646 and 594,190.69

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Solution

The third proportional to 272,646 and 594,190.69 is: 1,294,948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,646 : 594,190.69 = 594,190.69 : x
  2. Step 2: Convert to fraction form
    272,646/594,190.69 = 594,190.69/x
  3. Step 3: Cross multiply
    272,646x = 594,190.69 × 594,190.69
  4. Step 4: Simplify right side
    272,646x = 353,062,573,111.72
  5. Step 5: Solve for x
    x = 353,062,573,111.72/272,646
  6. Step 6: Final answer
    x = 1,294,948.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.