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Finding the Third Proportional to 333,058 and 507,930

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Solution

The third proportional to 333,058 and 507,930 is: 774,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,058 : 507,930 = 507,930 : x
  2. Step 2: Convert to fraction form
    333,058/507,930 = 507,930/x
  3. Step 3: Cross multiply
    333,058x = 507,930 × 507,930
  4. Step 4: Simplify right side
    333,058x = 257,992,884,900
  5. Step 5: Solve for x
    x = 257,992,884,900/333,058
  6. Step 6: Final answer
    x = 774,618.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.