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Finding the Third Proportional to 211,468 and 455,942

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Solution

The third proportional to 211,468 and 455,942 is: 983,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,468 : 455,942 = 455,942 : x
  2. Step 2: Convert to fraction form
    211,468/455,942 = 455,942/x
  3. Step 3: Cross multiply
    211,468x = 455,942 × 455,942
  4. Step 4: Simplify right side
    211,468x = 207,883,107,364
  5. Step 5: Solve for x
    x = 207,883,107,364/211,468
  6. Step 6: Final answer
    x = 983,047.59

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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.