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Finding the Third Proportional to 367,438,348.41 and 544,269,695.20

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Solution

The third proportional to 367,438,348.41 and 544,269,695.20 is: 806,201,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,438,348.41 : 544,269,695.20 = 544,269,695.20 : x
  2. Step 2: Convert to fraction form
    367,438,348.41/544,269,695.20 = 544,269,695.20/x
  3. Step 3: Cross multiply
    367,438,348.41x = 544,269,695.20 × 544,269,695.20
  4. Step 4: Simplify right side
    367,438,348.41x = 296,229,501,116,497,152
  5. Step 5: Solve for x
    x = 296,229,501,116,497,152/367,438,348.41
  6. Step 6: Final answer
    x = 806,201,917.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.