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Finding the Third Proportional to 352,694,837.25 and 493,302,575.25

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Solution

The third proportional to 352,694,837.25 and 493,302,575.25 is: 689,965,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,694,837.25 : 493,302,575.25 = 493,302,575.25 : x
  2. Step 2: Convert to fraction form
    352,694,837.25/493,302,575.25 = 493,302,575.25/x
  3. Step 3: Cross multiply
    352,694,837.25x = 493,302,575.25 × 493,302,575.25
  4. Step 4: Simplify right side
    352,694,837.25x = 243,347,430,748,281,920
  5. Step 5: Solve for x
    x = 243,347,430,748,281,920/352,694,837.25
  6. Step 6: Final answer
    x = 689,965,956.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.