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Finding the Third Proportional to 445,638 and 658,628.50

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Solution

The third proportional to 445,638 and 658,628.50 is: 973,416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,638 : 658,628.50 = 658,628.50 : x
  2. Step 2: Convert to fraction form
    445,638/658,628.50 = 658,628.50/x
  3. Step 3: Cross multiply
    445,638x = 658,628.50 × 658,628.50
  4. Step 4: Simplify right side
    445,638x = 433,791,501,012.25
  5. Step 5: Solve for x
    x = 433,791,501,012.25/445,638
  6. Step 6: Final answer
    x = 973,416.77

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.