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Finding the Third Proportional to 286,539.50 and 441,838

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Solution

The third proportional to 286,539.50 and 441,838 is: 681,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,539.50 : 441,838 = 441,838 : x
  2. Step 2: Convert to fraction form
    286,539.50/441,838 = 441,838/x
  3. Step 3: Cross multiply
    286,539.50x = 441,838 × 441,838
  4. Step 4: Simplify right side
    286,539.50x = 195,220,818,244
  5. Step 5: Solve for x
    x = 195,220,818,244/286,539.50
  6. Step 6: Final answer
    x = 681,305.08

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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.