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Finding the Third Proportional to 272,605 and 594,781

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Solution

The third proportional to 272,605 and 594,781 is: 1,297,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,605 : 594,781 = 594,781 : x
  2. Step 2: Convert to fraction form
    272,605/594,781 = 594,781/x
  3. Step 3: Cross multiply
    272,605x = 594,781 × 594,781
  4. Step 4: Simplify right side
    272,605x = 353,764,437,961
  5. Step 5: Solve for x
    x = 353,764,437,961/272,605
  6. Step 6: Final answer
    x = 1,297,718.08

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Why These Related Problems?

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