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Finding the Third Proportional to 302,438,466 and 467,089,039.50

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Solution

The third proportional to 302,438,466 and 467,089,039.50 is: 721,377,057.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,438,466 : 467,089,039.50 = 467,089,039.50 : x
  2. Step 2: Convert to fraction form
    302,438,466/467,089,039.50 = 467,089,039.50/x
  3. Step 3: Cross multiply
    302,438,466x = 467,089,039.50 × 467,089,039.50
  4. Step 4: Simplify right side
    302,438,466x = 218,172,170,821,032,576
  5. Step 5: Solve for x
    x = 218,172,170,821,032,576/302,438,466
  6. Step 6: Final answer
    x = 721,377,057.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.