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Finding the Third Proportional to 300,934,986.75 and 423,782,775.75

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Solution

The third proportional to 300,934,986.75 and 423,782,775.75 is: 596,779,533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,934,986.75 : 423,782,775.75 = 423,782,775.75 : x
  2. Step 2: Convert to fraction form
    300,934,986.75/423,782,775.75 = 423,782,775.75/x
  3. Step 3: Cross multiply
    300,934,986.75x = 423,782,775.75 × 423,782,775.75
  4. Step 4: Simplify right side
    300,934,986.75x = 179,591,841,022,374,784
  5. Step 5: Solve for x
    x = 179,591,841,022,374,784/300,934,986.75
  6. Step 6: Final answer
    x = 596,779,533.55

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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.