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Finding the Third Proportional to 302,438,732 and 467,089,439.50

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Solution

The third proportional to 302,438,732 and 467,089,439.50 is: 721,377,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,438,732 : 467,089,439.50 = 467,089,439.50 : x
  2. Step 2: Convert to fraction form
    302,438,732/467,089,439.50 = 467,089,439.50/x
  3. Step 3: Cross multiply
    302,438,732x = 467,089,439.50 × 467,089,439.50
  4. Step 4: Simplify right side
    302,438,732x = 218,172,544,492,424,160
  5. Step 5: Solve for x
    x = 218,172,544,492,424,160/302,438,732
  6. Step 6: Final answer
    x = 721,377,659.04

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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.