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Finding the Third Proportional to 394,403,418 and 615,481,579.50

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Solution

The third proportional to 394,403,418 and 615,481,579.50 is: 960,482,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,403,418 : 615,481,579.50 = 615,481,579.50 : x
  2. Step 2: Convert to fraction form
    394,403,418/615,481,579.50 = 615,481,579.50/x
  3. Step 3: Cross multiply
    394,403,418x = 615,481,579.50 × 615,481,579.50
  4. Step 4: Simplify right side
    394,403,418x = 378,817,574,703,814,848
  5. Step 5: Solve for x
    x = 378,817,574,703,814,848/394,403,418
  6. Step 6: Final answer
    x = 960,482,484.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.