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Finding the Third Proportional to 507,666 and 673,880

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Solution

The third proportional to 507,666 and 673,880 is: 894,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,666 : 673,880 = 673,880 : x
  2. Step 2: Convert to fraction form
    507,666/673,880 = 673,880/x
  3. Step 3: Cross multiply
    507,666x = 673,880 × 673,880
  4. Step 4: Simplify right side
    507,666x = 454,114,254,400
  5. Step 5: Solve for x
    x = 454,114,254,400/507,666
  6. Step 6: Final answer
    x = 894,513.82

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Why These Related Problems?

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