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Finding the Third Proportional to 472,278,351 and 740,798,250

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Solution

The third proportional to 472,278,351 and 740,798,250 is: 1,161,988,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,278,351 : 740,798,250 = 740,798,250 : x
  2. Step 2: Convert to fraction form
    472,278,351/740,798,250 = 740,798,250/x
  3. Step 3: Cross multiply
    472,278,351x = 740,798,250 × 740,798,250
  4. Step 4: Simplify right side
    472,278,351x = 548,782,047,203,062,528
  5. Step 5: Solve for x
    x = 548,782,047,203,062,528/472,278,351
  6. Step 6: Final answer
    x = 1,161,988,573.14

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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.