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Finding the Third Proportional to 472,278,342 and 740,798,235

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Solution

The third proportional to 472,278,342 and 740,798,235 is: 1,161,988,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,278,342 : 740,798,235 = 740,798,235 : x
  2. Step 2: Convert to fraction form
    472,278,342/740,798,235 = 740,798,235/x
  3. Step 3: Cross multiply
    472,278,342x = 740,798,235 × 740,798,235
  4. Step 4: Simplify right side
    472,278,342x = 548,782,024,979,115,200
  5. Step 5: Solve for x
    x = 548,782,024,979,115,200/472,278,342
  6. Step 6: Final answer
    x = 1,161,988,548.23

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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.