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Finding the Third Proportional to 342,153,844 and 494,353,326

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Solution

The third proportional to 342,153,844 and 494,353,326 is: 714,255,342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,153,844 : 494,353,326 = 494,353,326 : x
  2. Step 2: Convert to fraction form
    342,153,844/494,353,326 = 494,353,326/x
  3. Step 3: Cross multiply
    342,153,844x = 494,353,326 × 494,353,326
  4. Step 4: Simplify right side
    342,153,844x = 244,385,210,927,262,272
  5. Step 5: Solve for x
    x = 244,385,210,927,262,272/342,153,844
  6. Step 6: Final answer
    x = 714,255,342.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.