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Finding the Third Proportional to 210,044.25 and 460,912.50

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Solution

The third proportional to 210,044.25 and 460,912.50 is: 1,011,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,044.25 : 460,912.50 = 460,912.50 : x
  2. Step 2: Convert to fraction form
    210,044.25/460,912.50 = 460,912.50/x
  3. Step 3: Cross multiply
    210,044.25x = 460,912.50 × 460,912.50
  4. Step 4: Simplify right side
    210,044.25x = 212,440,332,656.25
  5. Step 5: Solve for x
    x = 212,440,332,656.25/210,044.25
  6. Step 6: Final answer
    x = 1,011,407.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.