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Finding the Third Proportional to 211,017 and 488,084.50

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Solution

The third proportional to 211,017 and 488,084.50 is: 1,128,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,017 : 488,084.50 = 488,084.50 : x
  2. Step 2: Convert to fraction form
    211,017/488,084.50 = 488,084.50/x
  3. Step 3: Cross multiply
    211,017x = 488,084.50 × 488,084.50
  4. Step 4: Simplify right side
    211,017x = 238,226,479,140.25
  5. Step 5: Solve for x
    x = 238,226,479,140.25/211,017
  6. Step 6: Final answer
    x = 1,128,944.49

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.