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Finding the Third Proportional to 472,278,324 and 740,798,208

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Solution

The third proportional to 472,278,324 and 740,798,208 is: 1,161,988,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,278,324 : 740,798,208 = 740,798,208 : x
  2. Step 2: Convert to fraction form
    472,278,324/740,798,208 = 740,798,208/x
  3. Step 3: Cross multiply
    472,278,324x = 740,798,208 × 740,798,208
  4. Step 4: Simplify right side
    472,278,324x = 548,781,984,976,011,264
  5. Step 5: Solve for x
    x = 548,781,984,976,011,264/472,278,324
  6. Step 6: Final answer
    x = 1,161,988,507.81

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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.