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Finding the Third Proportional to 406,378.50 and 632,835

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Solution

The third proportional to 406,378.50 and 632,835 is: 985,485.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,378.50 : 632,835 = 632,835 : x
  2. Step 2: Convert to fraction form
    406,378.50/632,835 = 632,835/x
  3. Step 3: Cross multiply
    406,378.50x = 632,835 × 632,835
  4. Step 4: Simplify right side
    406,378.50x = 400,480,137,225
  5. Step 5: Solve for x
    x = 400,480,137,225/406,378.50
  6. Step 6: Final answer
    x = 985,485.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.