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Finding the Third Proportional to 226,532 and 529,070

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Solution

The third proportional to 226,532 and 529,070 is: 1,235,653.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,532 : 529,070 = 529,070 : x
  2. Step 2: Convert to fraction form
    226,532/529,070 = 529,070/x
  3. Step 3: Cross multiply
    226,532x = 529,070 × 529,070
  4. Step 4: Simplify right side
    226,532x = 279,915,064,900
  5. Step 5: Solve for x
    x = 279,915,064,900/226,532
  6. Step 6: Final answer
    x = 1,235,653.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.