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Finding the Third Proportional to 208,522 and 455,282

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Solution

The third proportional to 208,522 and 455,282 is: 994,051.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,522 : 455,282 = 455,282 : x
  2. Step 2: Convert to fraction form
    208,522/455,282 = 455,282/x
  3. Step 3: Cross multiply
    208,522x = 455,282 × 455,282
  4. Step 4: Simplify right side
    208,522x = 207,281,699,524
  5. Step 5: Solve for x
    x = 207,281,699,524/208,522
  6. Step 6: Final answer
    x = 994,051.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.