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Finding the Third Proportional to 259,624.50 and 392,893.50

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Solution

The third proportional to 259,624.50 and 392,893.50 is: 594,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,624.50 : 392,893.50 = 392,893.50 : x
  2. Step 2: Convert to fraction form
    259,624.50/392,893.50 = 392,893.50/x
  3. Step 3: Cross multiply
    259,624.50x = 392,893.50 × 392,893.50
  4. Step 4: Simplify right side
    259,624.50x = 154,365,302,342.25
  5. Step 5: Solve for x
    x = 154,365,302,342.25/259,624.50
  6. Step 6: Final answer
    x = 594,571.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.