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Finding the Third Proportional to 270,148 and 576,752

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Solution

The third proportional to 270,148 and 576,752 is: 1,231,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,148 : 576,752 = 576,752 : x
  2. Step 2: Convert to fraction form
    270,148/576,752 = 576,752/x
  3. Step 3: Cross multiply
    270,148x = 576,752 × 576,752
  4. Step 4: Simplify right side
    270,148x = 332,642,869,504
  5. Step 5: Solve for x
    x = 332,642,869,504/270,148
  6. Step 6: Final answer
    x = 1,231,335.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.