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Finding the Third Proportional to 301,934.25 and 651,157.50

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Solution

The third proportional to 301,934.25 and 651,157.50 is: 1,404,299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,934.25 : 651,157.50 = 651,157.50 : x
  2. Step 2: Convert to fraction form
    301,934.25/651,157.50 = 651,157.50/x
  3. Step 3: Cross multiply
    301,934.25x = 651,157.50 × 651,157.50
  4. Step 4: Simplify right side
    301,934.25x = 424,006,089,806.25
  5. Step 5: Solve for x
    x = 424,006,089,806.25/301,934.25
  6. Step 6: Final answer
    x = 1,404,299.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.