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Finding the Third Proportional to 507,662 and 673,874.50

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Solution

The third proportional to 507,662 and 673,874.50 is: 894,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,662 : 673,874.50 = 673,874.50 : x
  2. Step 2: Convert to fraction form
    507,662/673,874.50 = 673,874.50/x
  3. Step 3: Cross multiply
    507,662x = 673,874.50 × 673,874.50
  4. Step 4: Simplify right side
    507,662x = 454,106,841,750.25
  5. Step 5: Solve for x
    x = 454,106,841,750.25/507,662
  6. Step 6: Final answer
    x = 894,506.27

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.