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Finding the Third Proportional to 433,693,487.25 and 660,704,046.75

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Solution

The third proportional to 433,693,487.25 and 660,704,046.75 is: 1,006,539,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,693,487.25 : 660,704,046.75 = 660,704,046.75 : x
  2. Step 2: Convert to fraction form
    433,693,487.25/660,704,046.75 = 660,704,046.75/x
  3. Step 3: Cross multiply
    433,693,487.25x = 660,704,046.75 × 660,704,046.75
  4. Step 4: Simplify right side
    433,693,487.25x = 436,529,837,391,826,176
  5. Step 5: Solve for x
    x = 436,529,837,391,826,176/433,693,487.25
  6. Step 6: Final answer
    x = 1,006,539,987.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.