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Finding the Third Proportional to 402,391 and 603,634.50

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Solution

The third proportional to 402,391 and 603,634.50 is: 905,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,391 : 603,634.50 = 603,634.50 : x
  2. Step 2: Convert to fraction form
    402,391/603,634.50 = 603,634.50/x
  3. Step 3: Cross multiply
    402,391x = 603,634.50 × 603,634.50
  4. Step 4: Simplify right side
    402,391x = 364,374,609,590.25
  5. Step 5: Solve for x
    x = 364,374,609,590.25/402,391
  6. Step 6: Final answer
    x = 905,523.76

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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.