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Finding the Third Proportional to 210,908.81 and 460,397.67

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Solution

The third proportional to 210,908.81 and 460,397.67 is: 1,005,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,908.81 : 460,397.67 = 460,397.67 : x
  2. Step 2: Convert to fraction form
    210,908.81/460,397.67 = 460,397.67/x
  3. Step 3: Cross multiply
    210,908.81x = 460,397.67 × 460,397.67
  4. Step 4: Simplify right side
    210,908.81x = 211,966,016,267.92
  5. Step 5: Solve for x
    x = 211,966,016,267.92/210,908.81
  6. Step 6: Final answer
    x = 1,005,012.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.