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Finding the Third Proportional to 305,862.75 and 466,846.88

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Solution

The third proportional to 305,862.75 and 466,846.88 is: 712,561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,862.75 : 466,846.88 = 466,846.88 : x
  2. Step 2: Convert to fraction form
    305,862.75/466,846.88 = 466,846.88/x
  3. Step 3: Cross multiply
    305,862.75x = 466,846.88 × 466,846.88
  4. Step 4: Simplify right side
    305,862.75x = 217,946,004,697.27
  5. Step 5: Solve for x
    x = 217,946,004,697.27/305,862.75
  6. Step 6: Final answer
    x = 712,561.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.