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Finding the Third Proportional to 335,046 and 518,121.50

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Solution

The third proportional to 335,046 and 518,121.50 is: 801,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,046 : 518,121.50 = 518,121.50 : x
  2. Step 2: Convert to fraction form
    335,046/518,121.50 = 518,121.50/x
  3. Step 3: Cross multiply
    335,046x = 518,121.50 × 518,121.50
  4. Step 4: Simplify right side
    335,046x = 268,449,888,762.25
  5. Step 5: Solve for x
    x = 268,449,888,762.25/335,046
  6. Step 6: Final answer
    x = 801,232.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.