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Finding the Third Proportional to 282,057 and 436,948.50

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Solution

The third proportional to 282,057 and 436,948.50 is: 676,898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,057 : 436,948.50 = 436,948.50 : x
  2. Step 2: Convert to fraction form
    282,057/436,948.50 = 436,948.50/x
  3. Step 3: Cross multiply
    282,057x = 436,948.50 × 436,948.50
  4. Step 4: Simplify right side
    282,057x = 190,923,991,652.25
  5. Step 5: Solve for x
    x = 190,923,991,652.25/282,057
  6. Step 6: Final answer
    x = 676,898.61

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