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Finding the Third Proportional to 321,359,788.31 and 452,545,395.75

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Solution

The third proportional to 321,359,788.31 and 452,545,395.75 is: 637,283,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,359,788.31 : 452,545,395.75 = 452,545,395.75 : x
  2. Step 2: Convert to fraction form
    321,359,788.31/452,545,395.75 = 452,545,395.75/x
  3. Step 3: Cross multiply
    321,359,788.31x = 452,545,395.75 × 452,545,395.75
  4. Step 4: Simplify right side
    321,359,788.31x = 204,797,335,214,524,128
  5. Step 5: Solve for x
    x = 204,797,335,214,524,128/321,359,788.31
  6. Step 6: Final answer
    x = 637,283,638.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.