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Finding the Third Proportional to 465,671,424.50 and 715,770,346

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Solution

The third proportional to 465,671,424.50 and 715,770,346 is: 1,100,190,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,671,424.50 : 715,770,346 = 715,770,346 : x
  2. Step 2: Convert to fraction form
    465,671,424.50/715,770,346 = 715,770,346/x
  3. Step 3: Cross multiply
    465,671,424.50x = 715,770,346 × 715,770,346
  4. Step 4: Simplify right side
    465,671,424.50x = 512,327,188,212,959,744
  5. Step 5: Solve for x
    x = 512,327,188,212,959,744/465,671,424.50
  6. Step 6: Final answer
    x = 1,100,190,308.57

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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.