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Finding the Third Proportional to 211,966.88 and 460,746.56

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Solution

The third proportional to 211,966.88 and 460,746.56 is: 1,001,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,966.88 : 460,746.56 = 460,746.56 : x
  2. Step 2: Convert to fraction form
    211,966.88/460,746.56 = 460,746.56/x
  3. Step 3: Cross multiply
    211,966.88x = 460,746.56 × 460,746.56
  4. Step 4: Simplify right side
    211,966.88x = 212,287,394,855.57
  5. Step 5: Solve for x
    x = 212,287,394,855.57/211,966.88
  6. Step 6: Final answer
    x = 1,001,512.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.