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Finding the Third Proportional to 451,288.13 and 931,176

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Solution

The third proportional to 451,288.13 and 931,176 is: 1,921,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,288.13 : 931,176 = 931,176 : x
  2. Step 2: Convert to fraction form
    451,288.13/931,176 = 931,176/x
  3. Step 3: Cross multiply
    451,288.13x = 931,176 × 931,176
  4. Step 4: Simplify right side
    451,288.13x = 867,088,742,976
  5. Step 5: Solve for x
    x = 867,088,742,976/451,288.13
  6. Step 6: Final answer
    x = 1,921,363.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.