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Finding the Third Proportional to 262,008 and 561,370.50

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Solution

The third proportional to 262,008 and 561,370.50 is: 1,202,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,008 : 561,370.50 = 561,370.50 : x
  2. Step 2: Convert to fraction form
    262,008/561,370.50 = 561,370.50/x
  3. Step 3: Cross multiply
    262,008x = 561,370.50 × 561,370.50
  4. Step 4: Simplify right side
    262,008x = 315,136,838,270.25
  5. Step 5: Solve for x
    x = 315,136,838,270.25/262,008
  6. Step 6: Final answer
    x = 1,202,775.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.