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Finding the Third Proportional to 305,266.50 and 466,971.75

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Solution

The third proportional to 305,266.50 and 466,971.75 is: 714,335.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,266.50 : 466,971.75 = 466,971.75 : x
  2. Step 2: Convert to fraction form
    305,266.50/466,971.75 = 466,971.75/x
  3. Step 3: Cross multiply
    305,266.50x = 466,971.75 × 466,971.75
  4. Step 4: Simplify right side
    305,266.50x = 218,062,615,298.06
  5. Step 5: Solve for x
    x = 218,062,615,298.06/305,266.50
  6. Step 6: Final answer
    x = 714,335.23

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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.