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Finding the Third Proportional to 300,934,993.50 and 423,782,784

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Solution

The third proportional to 300,934,993.50 and 423,782,784 is: 596,779,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,934,993.50 : 423,782,784 = 423,782,784 : x
  2. Step 2: Convert to fraction form
    300,934,993.50/423,782,784 = 423,782,784/x
  3. Step 3: Cross multiply
    300,934,993.50x = 423,782,784 × 423,782,784
  4. Step 4: Simplify right side
    300,934,993.50x = 179,591,848,014,790,656
  5. Step 5: Solve for x
    x = 179,591,848,014,790,656/300,934,993.50
  6. Step 6: Final answer
    x = 596,779,543.40

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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.