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Finding the Third Proportional to 333,058 and 507,879

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Solution

The third proportional to 333,058 and 507,879 is: 774,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,058 : 507,879 = 507,879 : x
  2. Step 2: Convert to fraction form
    333,058/507,879 = 507,879/x
  3. Step 3: Cross multiply
    333,058x = 507,879 × 507,879
  4. Step 4: Simplify right side
    333,058x = 257,941,078,641
  5. Step 5: Solve for x
    x = 257,941,078,641/333,058
  6. Step 6: Final answer
    x = 774,462.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.