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Finding the Third Proportional to 386,565.75 and 589,846.50

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Solution

The third proportional to 386,565.75 and 589,846.50 is: 900,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,565.75 : 589,846.50 = 589,846.50 : x
  2. Step 2: Convert to fraction form
    386,565.75/589,846.50 = 589,846.50/x
  3. Step 3: Cross multiply
    386,565.75x = 589,846.50 × 589,846.50
  4. Step 4: Simplify right side
    386,565.75x = 347,918,893,562.25
  5. Step 5: Solve for x
    x = 347,918,893,562.25/386,565.75
  6. Step 6: Final answer
    x = 900,025.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.