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Finding the Third Proportional to 345,828 and 529,237

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Solution

The third proportional to 345,828 and 529,237 is: 809,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,828 : 529,237 = 529,237 : x
  2. Step 2: Convert to fraction form
    345,828/529,237 = 529,237/x
  3. Step 3: Cross multiply
    345,828x = 529,237 × 529,237
  4. Step 4: Simplify right side
    345,828x = 280,091,802,169
  5. Step 5: Solve for x
    x = 280,091,802,169/345,828
  6. Step 6: Final answer
    x = 809,916.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.