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Finding the Third Proportional to 300,934,990 and 423,782,780.50

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Solution

The third proportional to 300,934,990 and 423,782,780.50 is: 596,779,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,934,990 : 423,782,780.50 = 423,782,780.50 : x
  2. Step 2: Convert to fraction form
    300,934,990/423,782,780.50 = 423,782,780.50/x
  3. Step 3: Cross multiply
    300,934,990x = 423,782,780.50 × 423,782,780.50
  4. Step 4: Simplify right side
    300,934,990x = 179,591,845,048,311,168
  5. Step 5: Solve for x
    x = 179,591,845,048,311,168/300,934,990
  6. Step 6: Final answer
    x = 596,779,540.49

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