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Finding the Third Proportional to 419,501,383.88 and 583,283,142.84

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Solution

The third proportional to 419,501,383.88 and 583,283,142.84 is: 811,008,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,501,383.88 : 583,283,142.84 = 583,283,142.84 : x
  2. Step 2: Convert to fraction form
    419,501,383.88/583,283,142.84 = 583,283,142.84/x
  3. Step 3: Cross multiply
    419,501,383.88x = 583,283,142.84 × 583,283,142.84
  4. Step 4: Simplify right side
    419,501,383.88x = 340,219,224,725,682,496
  5. Step 5: Solve for x
    x = 340,219,224,725,682,496/419,501,383.88
  6. Step 6: Final answer
    x = 811,008,587.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.