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Finding the Third Proportional to 234,729 and 506,866

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Solution

The third proportional to 234,729 and 506,866 is: 1,094,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,729 : 506,866 = 506,866 : x
  2. Step 2: Convert to fraction form
    234,729/506,866 = 506,866/x
  3. Step 3: Cross multiply
    234,729x = 506,866 × 506,866
  4. Step 4: Simplify right side
    234,729x = 256,913,141,956
  5. Step 5: Solve for x
    x = 256,913,141,956/234,729
  6. Step 6: Final answer
    x = 1,094,509.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.