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Finding the Third Proportional to 274,392 and 599,058

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Solution

The third proportional to 274,392 and 599,058 is: 1,307,875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,392 : 599,058 = 599,058 : x
  2. Step 2: Convert to fraction form
    274,392/599,058 = 599,058/x
  3. Step 3: Cross multiply
    274,392x = 599,058 × 599,058
  4. Step 4: Simplify right side
    274,392x = 358,870,487,364
  5. Step 5: Solve for x
    x = 358,870,487,364/274,392
  6. Step 6: Final answer
    x = 1,307,875.18

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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.