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Finding the Third Proportional to 301,650.75 and 469,030.50

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Solution

The third proportional to 301,650.75 and 469,030.50 is: 729,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,650.75 : 469,030.50 = 469,030.50 : x
  2. Step 2: Convert to fraction form
    301,650.75/469,030.50 = 469,030.50/x
  3. Step 3: Cross multiply
    301,650.75x = 469,030.50 × 469,030.50
  4. Step 4: Simplify right side
    301,650.75x = 219,989,609,930.25
  5. Step 5: Solve for x
    x = 219,989,609,930.25/301,650.75
  6. Step 6: Final answer
    x = 729,285.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.