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Finding the Third Proportional to 368,509.50 and 805,761

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Solution

The third proportional to 368,509.50 and 805,761 is: 1,761,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,509.50 : 805,761 = 805,761 : x
  2. Step 2: Convert to fraction form
    368,509.50/805,761 = 805,761/x
  3. Step 3: Cross multiply
    368,509.50x = 805,761 × 805,761
  4. Step 4: Simplify right side
    368,509.50x = 649,250,789,121
  5. Step 5: Solve for x
    x = 649,250,789,121/368,509.50
  6. Step 6: Final answer
    x = 1,761,829.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.