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Finding the Third Proportional to 402,333 and 603,507.75

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Solution

The third proportional to 402,333 and 603,507.75 is: 905,274.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,333 : 603,507.75 = 603,507.75 : x
  2. Step 2: Convert to fraction form
    402,333/603,507.75 = 603,507.75/x
  3. Step 3: Cross multiply
    402,333x = 603,507.75 × 603,507.75
  4. Step 4: Simplify right side
    402,333x = 364,221,604,310.06
  5. Step 5: Solve for x
    x = 364,221,604,310.06/402,333
  6. Step 6: Final answer
    x = 905,274.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.