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Finding the Third Proportional to 302,512.50 and 664,075.50

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Solution

The third proportional to 302,512.50 and 664,075.50 is: 1,457,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,512.50 : 664,075.50 = 664,075.50 : x
  2. Step 2: Convert to fraction form
    302,512.50/664,075.50 = 664,075.50/x
  3. Step 3: Cross multiply
    302,512.50x = 664,075.50 × 664,075.50
  4. Step 4: Simplify right side
    302,512.50x = 440,996,269,700.25
  5. Step 5: Solve for x
    x = 440,996,269,700.25/302,512.50
  6. Step 6: Final answer
    x = 1,457,778.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.