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Finding the Third Proportional to 216,436 and 469,836.50

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Solution

The third proportional to 216,436 and 469,836.50 is: 1,019,915.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,436 : 469,836.50 = 469,836.50 : x
  2. Step 2: Convert to fraction form
    216,436/469,836.50 = 469,836.50/x
  3. Step 3: Cross multiply
    216,436x = 469,836.50 × 469,836.50
  4. Step 4: Simplify right side
    216,436x = 220,746,336,732.25
  5. Step 5: Solve for x
    x = 220,746,336,732.25/216,436
  6. Step 6: Final answer
    x = 1,019,915.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.