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Finding the Third Proportional to 261,808 and 546,944

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Solution

The third proportional to 261,808 and 546,944 is: 1,142,622.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,808 : 546,944 = 546,944 : x
  2. Step 2: Convert to fraction form
    261,808/546,944 = 546,944/x
  3. Step 3: Cross multiply
    261,808x = 546,944 × 546,944
  4. Step 4: Simplify right side
    261,808x = 299,147,739,136
  5. Step 5: Solve for x
    x = 299,147,739,136/261,808
  6. Step 6: Final answer
    x = 1,142,622.61

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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.