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Finding the Third Proportional to 261,610 and 546,908

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Solution

The third proportional to 261,610 and 546,908 is: 1,143,336.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,610 : 546,908 = 546,908 : x
  2. Step 2: Convert to fraction form
    261,610/546,908 = 546,908/x
  3. Step 3: Cross multiply
    261,610x = 546,908 × 546,908
  4. Step 4: Simplify right side
    261,610x = 299,108,360,464
  5. Step 5: Solve for x
    x = 299,108,360,464/261,610
  6. Step 6: Final answer
    x = 1,143,336.88

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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.