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Finding the Third Proportional to 333,024.75 and 507,826.13

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Solution

The third proportional to 333,024.75 and 507,826.13 is: 774,379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,024.75 : 507,826.13 = 507,826.13 : x
  2. Step 2: Convert to fraction form
    333,024.75/507,826.13 = 507,826.13/x
  3. Step 3: Cross multiply
    333,024.75x = 507,826.13 × 507,826.13
  4. Step 4: Simplify right side
    333,024.75x = 257,887,373,232.52
  5. Step 5: Solve for x
    x = 257,887,373,232.52/333,024.75
  6. Step 6: Final answer
    x = 774,379.00

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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.