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Finding the Third Proportional to 266,197.50 and 576,657

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Solution

The third proportional to 266,197.50 and 576,657 is: 1,249,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,197.50 : 576,657 = 576,657 : x
  2. Step 2: Convert to fraction form
    266,197.50/576,657 = 576,657/x
  3. Step 3: Cross multiply
    266,197.50x = 576,657 × 576,657
  4. Step 4: Simplify right side
    266,197.50x = 332,533,295,649
  5. Step 5: Solve for x
    x = 332,533,295,649/266,197.50
  6. Step 6: Final answer
    x = 1,249,197.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.