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Finding the Third Proportional to 211,476 and 455,964

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Solution

The third proportional to 211,476 and 455,964 is: 983,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,476 : 455,964 = 455,964 : x
  2. Step 2: Convert to fraction form
    211,476/455,964 = 455,964/x
  3. Step 3: Cross multiply
    211,476x = 455,964 × 455,964
  4. Step 4: Simplify right side
    211,476x = 207,903,169,296
  5. Step 5: Solve for x
    x = 207,903,169,296/211,476
  6. Step 6: Final answer
    x = 983,105.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.