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Finding the Third Proportional to 234,724 and 512,458

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Solution

The third proportional to 234,724 and 512,458 is: 1,118,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,724 : 512,458 = 512,458 : x
  2. Step 2: Convert to fraction form
    234,724/512,458 = 512,458/x
  3. Step 3: Cross multiply
    234,724x = 512,458 × 512,458
  4. Step 4: Simplify right side
    234,724x = 262,613,201,764
  5. Step 5: Solve for x
    x = 262,613,201,764/234,724
  6. Step 6: Final answer
    x = 1,118,817.00

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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.