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Finding the Third Proportional to 337,058 and 507,723

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Solution

The third proportional to 337,058 and 507,723 is: 764,802.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,058 : 507,723 = 507,723 : x
  2. Step 2: Convert to fraction form
    337,058/507,723 = 507,723/x
  3. Step 3: Cross multiply
    337,058x = 507,723 × 507,723
  4. Step 4: Simplify right side
    337,058x = 257,782,644,729
  5. Step 5: Solve for x
    x = 257,782,644,729/337,058
  6. Step 6: Final answer
    x = 764,802.04

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Why These Related Problems?

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