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Finding the Third Proportional to 260,364 and 541,461

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Solution

The third proportional to 260,364 and 541,461 is: 1,126,038.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,364 : 541,461 = 541,461 : x
  2. Step 2: Convert to fraction form
    260,364/541,461 = 541,461/x
  3. Step 3: Cross multiply
    260,364x = 541,461 × 541,461
  4. Step 4: Simplify right side
    260,364x = 293,180,014,521
  5. Step 5: Solve for x
    x = 293,180,014,521/260,364
  6. Step 6: Final answer
    x = 1,126,038.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.