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Finding the Third Proportional to 300,398.63 and 464,979.94

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Solution

The third proportional to 300,398.63 and 464,979.94 is: 719,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,398.63 : 464,979.94 = 464,979.94 : x
  2. Step 2: Convert to fraction form
    300,398.63/464,979.94 = 464,979.94/x
  3. Step 3: Cross multiply
    300,398.63x = 464,979.94 × 464,979.94
  4. Step 4: Simplify right side
    300,398.63x = 216,206,342,277.50
  5. Step 5: Solve for x
    x = 216,206,342,277.50/300,398.63
  6. Step 6: Final answer
    x = 719,731.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.