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Finding the Third Proportional to 233,034 and 496,572

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Solution

The third proportional to 233,034 and 496,572 is: 1,058,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,034 : 496,572 = 496,572 : x
  2. Step 2: Convert to fraction form
    233,034/496,572 = 496,572/x
  3. Step 3: Cross multiply
    233,034x = 496,572 × 496,572
  4. Step 4: Simplify right side
    233,034x = 246,583,751,184
  5. Step 5: Solve for x
    x = 246,583,751,184/233,034
  6. Step 6: Final answer
    x = 1,058,144.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.