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Finding the Third Proportional to 472,278,353 and 740,798,253

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Solution

The third proportional to 472,278,353 and 740,798,253 is: 1,161,988,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,278,353 : 740,798,253 = 740,798,253 : x
  2. Step 2: Convert to fraction form
    472,278,353/740,798,253 = 740,798,253/x
  3. Step 3: Cross multiply
    472,278,353x = 740,798,253 × 740,798,253
  4. Step 4: Simplify right side
    472,278,353x = 548,782,051,647,852,032
  5. Step 5: Solve for x
    x = 548,782,051,647,852,032/472,278,353
  6. Step 6: Final answer
    x = 1,161,988,577.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.