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Finding the Third Proportional to 452,739 and 612,676.50

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Solution

The third proportional to 452,739 and 612,676.50 is: 829,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,739 : 612,676.50 = 612,676.50 : x
  2. Step 2: Convert to fraction form
    452,739/612,676.50 = 612,676.50/x
  3. Step 3: Cross multiply
    452,739x = 612,676.50 × 612,676.50
  4. Step 4: Simplify right side
    452,739x = 375,372,493,652.25
  5. Step 5: Solve for x
    x = 375,372,493,652.25/452,739
  6. Step 6: Final answer
    x = 829,114.55

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.