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Finding the Third Proportional to 307,144,851.75 and 434,600,548.88

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Solution

The third proportional to 307,144,851.75 and 434,600,548.88 is: 614,946,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,144,851.75 : 434,600,548.88 = 434,600,548.88 : x
  2. Step 2: Convert to fraction form
    307,144,851.75/434,600,548.88 = 434,600,548.88/x
  3. Step 3: Cross multiply
    307,144,851.75x = 434,600,548.88 × 434,600,548.88
  4. Step 4: Simplify right side
    307,144,851.75x = 188,877,637,082,451,264
  5. Step 5: Solve for x
    x = 188,877,637,082,451,264/307,144,851.75
  6. Step 6: Final answer
    x = 614,946,452.81

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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.