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Finding the Third Proportional to 386,370 and 591,025.50

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Solution

The third proportional to 386,370 and 591,025.50 is: 904,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,370 : 591,025.50 = 591,025.50 : x
  2. Step 2: Convert to fraction form
    386,370/591,025.50 = 591,025.50/x
  3. Step 3: Cross multiply
    386,370x = 591,025.50 × 591,025.50
  4. Step 4: Simplify right side
    386,370x = 349,311,141,650.25
  5. Step 5: Solve for x
    x = 349,311,141,650.25/386,370
  6. Step 6: Final answer
    x = 904,084.53

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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.