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Finding the Third Proportional to 208,863 and 428,792.50

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Solution

The third proportional to 208,863 and 428,792.50 is: 880,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,863 : 428,792.50 = 428,792.50 : x
  2. Step 2: Convert to fraction form
    208,863/428,792.50 = 428,792.50/x
  3. Step 3: Cross multiply
    208,863x = 428,792.50 × 428,792.50
  4. Step 4: Simplify right side
    208,863x = 183,863,008,056.25
  5. Step 5: Solve for x
    x = 183,863,008,056.25/208,863
  6. Step 6: Final answer
    x = 880,304.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.