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Finding the Third Proportional to 383,602 and 601,764

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Solution

The third proportional to 383,602 and 601,764 is: 943,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,602 : 601,764 = 601,764 : x
  2. Step 2: Convert to fraction form
    383,602/601,764 = 601,764/x
  3. Step 3: Cross multiply
    383,602x = 601,764 × 601,764
  4. Step 4: Simplify right side
    383,602x = 362,119,911,696
  5. Step 5: Solve for x
    x = 362,119,911,696/383,602
  6. Step 6: Final answer
    x = 943,999.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.