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Finding the Third Proportional to 399,627 and 603,676.50

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Solution

The third proportional to 399,627 and 603,676.50 is: 911,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,627 : 603,676.50 = 603,676.50 : x
  2. Step 2: Convert to fraction form
    399,627/603,676.50 = 603,676.50/x
  3. Step 3: Cross multiply
    399,627x = 603,676.50 × 603,676.50
  4. Step 4: Simplify right side
    399,627x = 364,425,316,652.25
  5. Step 5: Solve for x
    x = 364,425,316,652.25/399,627
  6. Step 6: Final answer
    x = 911,913.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.