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Finding the Third Proportional to 268,830 and 586,852

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Solution

The third proportional to 268,830 and 586,852 is: 1,281,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,830 : 586,852 = 586,852 : x
  2. Step 2: Convert to fraction form
    268,830/586,852 = 586,852/x
  3. Step 3: Cross multiply
    268,830x = 586,852 × 586,852
  4. Step 4: Simplify right side
    268,830x = 344,395,269,904
  5. Step 5: Solve for x
    x = 344,395,269,904/268,830
  6. Step 6: Final answer
    x = 1,281,089.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.