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Finding the Third Proportional to 294,688.13 and 481,707

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Solution

The third proportional to 294,688.13 and 481,707 is: 787,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,688.13 : 481,707 = 481,707 : x
  2. Step 2: Convert to fraction form
    294,688.13/481,707 = 481,707/x
  3. Step 3: Cross multiply
    294,688.13x = 481,707 × 481,707
  4. Step 4: Simplify right side
    294,688.13x = 232,041,633,849
  5. Step 5: Solve for x
    x = 232,041,633,849/294,688.13
  6. Step 6: Final answer
    x = 787,414.27

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.