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Finding the Third Proportional to 266,328 and 581,958

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Solution

The third proportional to 266,328 and 581,958 is: 1,271,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,328 : 581,958 = 581,958 : x
  2. Step 2: Convert to fraction form
    266,328/581,958 = 581,958/x
  3. Step 3: Cross multiply
    266,328x = 581,958 × 581,958
  4. Step 4: Simplify right side
    266,328x = 338,675,113,764
  5. Step 5: Solve for x
    x = 338,675,113,764/266,328
  6. Step 6: Final answer
    x = 1,271,646.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.