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Finding the Third Proportional to 211,455 and 455,920

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Solution

The third proportional to 211,455 and 455,920 is: 983,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,455 : 455,920 = 455,920 : x
  2. Step 2: Convert to fraction form
    211,455/455,920 = 455,920/x
  3. Step 3: Cross multiply
    211,455x = 455,920 × 455,920
  4. Step 4: Simplify right side
    211,455x = 207,863,046,400
  5. Step 5: Solve for x
    x = 207,863,046,400/211,455
  6. Step 6: Final answer
    x = 983,013.15

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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.