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Finding the Third Proportional to 261,613 and 546,914

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Solution

The third proportional to 261,613 and 546,914 is: 1,143,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,613 : 546,914 = 546,914 : x
  2. Step 2: Convert to fraction form
    261,613/546,914 = 546,914/x
  3. Step 3: Cross multiply
    261,613x = 546,914 × 546,914
  4. Step 4: Simplify right side
    261,613x = 299,114,923,396
  5. Step 5: Solve for x
    x = 299,114,923,396/261,613
  6. Step 6: Final answer
    x = 1,143,348.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.