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Finding the Third Proportional to 260,064 and 400,896

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Solution

The third proportional to 260,064 and 400,896 is: 617,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,064 : 400,896 = 400,896 : x
  2. Step 2: Convert to fraction form
    260,064/400,896 = 400,896/x
  3. Step 3: Cross multiply
    260,064x = 400,896 × 400,896
  4. Step 4: Simplify right side
    260,064x = 160,717,602,816
  5. Step 5: Solve for x
    x = 160,717,602,816/260,064
  6. Step 6: Final answer
    x = 617,992.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.