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Finding the Third Proportional to 421,267.50 and 596,085.75

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Solution

The third proportional to 421,267.50 and 596,085.75 is: 843,450.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,267.50 : 596,085.75 = 596,085.75 : x
  2. Step 2: Convert to fraction form
    421,267.50/596,085.75 = 596,085.75/x
  3. Step 3: Cross multiply
    421,267.50x = 596,085.75 × 596,085.75
  4. Step 4: Simplify right side
    421,267.50x = 355,318,221,353.06
  5. Step 5: Solve for x
    x = 355,318,221,353.06/421,267.50
  6. Step 6: Final answer
    x = 843,450.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.