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Finding the Third Proportional to 282,033.30 and 436,895.96

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Solution

The third proportional to 282,033.30 and 436,895.96 is: 676,792.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,033.30 : 436,895.96 = 436,895.96 : x
  2. Step 2: Convert to fraction form
    282,033.30/436,895.96 = 436,895.96/x
  3. Step 3: Cross multiply
    282,033.30x = 436,895.96 × 436,895.96
  4. Step 4: Simplify right side
    282,033.30x = 190,878,084,096.75
  5. Step 5: Solve for x
    x = 190,878,084,096.75/282,033.30
  6. Step 6: Final answer
    x = 676,792.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.