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Finding the Third Proportional to 263,131 and 553,768

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Solution

The third proportional to 263,131 and 553,768 is: 1,165,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,131 : 553,768 = 553,768 : x
  2. Step 2: Convert to fraction form
    263,131/553,768 = 553,768/x
  3. Step 3: Cross multiply
    263,131x = 553,768 × 553,768
  4. Step 4: Simplify right side
    263,131x = 306,658,997,824
  5. Step 5: Solve for x
    x = 306,658,997,824/263,131
  6. Step 6: Final answer
    x = 1,165,423.30

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.