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Finding the Third Proportional to 494,801,565.75 and 727,056,189

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Solution

The third proportional to 494,801,565.75 and 727,056,189 is: 1,068,328,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,801,565.75 : 727,056,189 = 727,056,189 : x
  2. Step 2: Convert to fraction form
    494,801,565.75/727,056,189 = 727,056,189/x
  3. Step 3: Cross multiply
    494,801,565.75x = 727,056,189 × 727,056,189
  4. Step 4: Simplify right side
    494,801,565.75x = 528,610,701,963,203,712
  5. Step 5: Solve for x
    x = 528,610,701,963,203,712/494,801,565.75
  6. Step 6: Final answer
    x = 1,068,328,676.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.