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Finding the Third Proportional to 286,176 and 621,561

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Solution

The third proportional to 286,176 and 621,561 is: 1,350,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,176 : 621,561 = 621,561 : x
  2. Step 2: Convert to fraction form
    286,176/621,561 = 621,561/x
  3. Step 3: Cross multiply
    286,176x = 621,561 × 621,561
  4. Step 4: Simplify right side
    286,176x = 386,338,076,721
  5. Step 5: Solve for x
    x = 386,338,076,721/286,176
  6. Step 6: Final answer
    x = 1,350,001.67

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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.