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Finding the Third Proportional to 362,562 and 546,040.50

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Solution

The third proportional to 362,562 and 546,040.50 is: 822,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,562 : 546,040.50 = 546,040.50 : x
  2. Step 2: Convert to fraction form
    362,562/546,040.50 = 546,040.50/x
  3. Step 3: Cross multiply
    362,562x = 546,040.50 × 546,040.50
  4. Step 4: Simplify right side
    362,562x = 298,160,227,640.25
  5. Step 5: Solve for x
    x = 298,160,227,640.25/362,562
  6. Step 6: Final answer
    x = 822,370.32

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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.