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Finding the Third Proportional to 283,122 and 610,524

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Solution

The third proportional to 283,122 and 610,524 is: 1,316,533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,122 : 610,524 = 610,524 : x
  2. Step 2: Convert to fraction form
    283,122/610,524 = 610,524/x
  3. Step 3: Cross multiply
    283,122x = 610,524 × 610,524
  4. Step 4: Simplify right side
    283,122x = 372,739,554,576
  5. Step 5: Solve for x
    x = 372,739,554,576/283,122
  6. Step 6: Final answer
    x = 1,316,533.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.