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Finding the Third Proportional to 362,804.50 and 847,210.50

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Solution

The third proportional to 362,804.50 and 847,210.50 is: 1,978,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,804.50 : 847,210.50 = 847,210.50 : x
  2. Step 2: Convert to fraction form
    362,804.50/847,210.50 = 847,210.50/x
  3. Step 3: Cross multiply
    362,804.50x = 847,210.50 × 847,210.50
  4. Step 4: Simplify right side
    362,804.50x = 717,765,631,310.25
  5. Step 5: Solve for x
    x = 717,765,631,310.25/362,804.50
  6. Step 6: Final answer
    x = 1,978,381.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.