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Finding the Third Proportional to 305,958 and 662,754

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Solution

The third proportional to 305,958 and 662,754 is: 1,435,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,958 : 662,754 = 662,754 : x
  2. Step 2: Convert to fraction form
    305,958/662,754 = 662,754/x
  3. Step 3: Cross multiply
    305,958x = 662,754 × 662,754
  4. Step 4: Simplify right side
    305,958x = 439,242,864,516
  5. Step 5: Solve for x
    x = 439,242,864,516/305,958
  6. Step 6: Final answer
    x = 1,435,631.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.