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Finding the Third Proportional to 403,288.50 and 619,032

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Solution

The third proportional to 403,288.50 and 619,032 is: 950,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,288.50 : 619,032 = 619,032 : x
  2. Step 2: Convert to fraction form
    403,288.50/619,032 = 619,032/x
  3. Step 3: Cross multiply
    403,288.50x = 619,032 × 619,032
  4. Step 4: Simplify right side
    403,288.50x = 383,200,617,024
  5. Step 5: Solve for x
    x = 383,200,617,024/403,288.50
  6. Step 6: Final answer
    x = 950,189.79

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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.