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Finding the Third Proportional to 305,216 and 464,926

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Solution

The third proportional to 305,216 and 464,926 is: 708,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,216 : 464,926 = 464,926 : x
  2. Step 2: Convert to fraction form
    305,216/464,926 = 464,926/x
  3. Step 3: Cross multiply
    305,216x = 464,926 × 464,926
  4. Step 4: Simplify right side
    305,216x = 216,156,185,476
  5. Step 5: Solve for x
    x = 216,156,185,476/305,216
  6. Step 6: Final answer
    x = 708,207.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.