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Finding the Third Proportional to 261,364 and 566,984

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Solution

The third proportional to 261,364 and 566,984 is: 1,229,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,364 : 566,984 = 566,984 : x
  2. Step 2: Convert to fraction form
    261,364/566,984 = 566,984/x
  3. Step 3: Cross multiply
    261,364x = 566,984 × 566,984
  4. Step 4: Simplify right side
    261,364x = 321,470,856,256
  5. Step 5: Solve for x
    x = 321,470,856,256/261,364
  6. Step 6: Final answer
    x = 1,229,973.74

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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.