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Finding the Third Proportional to 234,526 and 512,063

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Solution

The third proportional to 234,526 and 512,063 is: 1,118,036.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,526 : 512,063 = 512,063 : x
  2. Step 2: Convert to fraction form
    234,526/512,063 = 512,063/x
  3. Step 3: Cross multiply
    234,526x = 512,063 × 512,063
  4. Step 4: Simplify right side
    234,526x = 262,208,515,969
  5. Step 5: Solve for x
    x = 262,208,515,969/234,526
  6. Step 6: Final answer
    x = 1,118,036.02

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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.