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Finding the Third Proportional to 282,052.13 and 436,929.19

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Solution

The third proportional to 282,052.13 and 436,929.19 is: 676,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,052.13 : 436,929.19 = 436,929.19 : x
  2. Step 2: Convert to fraction form
    282,052.13/436,929.19 = 436,929.19/x
  3. Step 3: Cross multiply
    282,052.13x = 436,929.19 × 436,929.19
  4. Step 4: Simplify right side
    282,052.13x = 190,907,114,889.41
  5. Step 5: Solve for x
    x = 190,907,114,889.41/282,052.13
  6. Step 6: Final answer
    x = 676,850.48

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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.