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Finding the Third Proportional to 411,912.75 and 619,975.13

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Solution

The third proportional to 411,912.75 and 619,975.13 is: 933,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,912.75 : 619,975.13 = 619,975.13 : x
  2. Step 2: Convert to fraction form
    411,912.75/619,975.13 = 619,975.13/x
  3. Step 3: Cross multiply
    411,912.75x = 619,975.13 × 619,975.13
  4. Step 4: Simplify right side
    411,912.75x = 384,369,155,618.77
  5. Step 5: Solve for x
    x = 384,369,155,618.77/411,912.75
  6. Step 6: Final answer
    x = 933,132.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.