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Finding the Third Proportional to 333,065 and 507,887

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Solution

The third proportional to 333,065 and 507,887 is: 774,471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,065 : 507,887 = 507,887 : x
  2. Step 2: Convert to fraction form
    333,065/507,887 = 507,887/x
  3. Step 3: Cross multiply
    333,065x = 507,887 × 507,887
  4. Step 4: Simplify right side
    333,065x = 257,949,204,769
  5. Step 5: Solve for x
    x = 257,949,204,769/333,065
  6. Step 6: Final answer
    x = 774,471.06

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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.