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Finding the Third Proportional to 211,260 and 469,754

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Solution

The third proportional to 211,260 and 469,754 is: 1,044,536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,260 : 469,754 = 469,754 : x
  2. Step 2: Convert to fraction form
    211,260/469,754 = 469,754/x
  3. Step 3: Cross multiply
    211,260x = 469,754 × 469,754
  4. Step 4: Simplify right side
    211,260x = 220,668,820,516
  5. Step 5: Solve for x
    x = 220,668,820,516/211,260
  6. Step 6: Final answer
    x = 1,044,536.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.