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Finding the Third Proportional to 302,883.75 and 660,775.50

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Solution

The third proportional to 302,883.75 and 660,775.50 is: 1,441,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,883.75 : 660,775.50 = 660,775.50 : x
  2. Step 2: Convert to fraction form
    302,883.75/660,775.50 = 660,775.50/x
  3. Step 3: Cross multiply
    302,883.75x = 660,775.50 × 660,775.50
  4. Step 4: Simplify right side
    302,883.75x = 436,624,261,400.25
  5. Step 5: Solve for x
    x = 436,624,261,400.25/302,883.75
  6. Step 6: Final answer
    x = 1,441,557.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.