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Finding the Third Proportional to 465,671,429 and 715,770,353

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Solution

The third proportional to 465,671,429 and 715,770,353 is: 1,100,190,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,671,429 : 715,770,353 = 715,770,353 : x
  2. Step 2: Convert to fraction form
    465,671,429/715,770,353 = 715,770,353/x
  3. Step 3: Cross multiply
    465,671,429x = 715,770,353 × 715,770,353
  4. Step 4: Simplify right side
    465,671,429x = 512,327,198,233,744,640
  5. Step 5: Solve for x
    x = 512,327,198,233,744,640/465,671,429
  6. Step 6: Final answer
    x = 1,100,190,319.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.