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Finding the Third Proportional to 378,606,298.50 and 566,395,983

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Solution

The third proportional to 378,606,298.50 and 566,395,983 is: 847,329,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,606,298.50 : 566,395,983 = 566,395,983 : x
  2. Step 2: Convert to fraction form
    378,606,298.50/566,395,983 = 566,395,983/x
  3. Step 3: Cross multiply
    378,606,298.50x = 566,395,983 × 566,395,983
  4. Step 4: Simplify right side
    378,606,298.50x = 320,804,409,558,536,320
  5. Step 5: Solve for x
    x = 320,804,409,558,536,320/378,606,298.50
  6. Step 6: Final answer
    x = 847,329,827.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.