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Finding the Third Proportional to 335,368.50 and 498,495.50

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Solution

The third proportional to 335,368.50 and 498,495.50 is: 740,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,368.50 : 498,495.50 = 498,495.50 : x
  2. Step 2: Convert to fraction form
    335,368.50/498,495.50 = 498,495.50/x
  3. Step 3: Cross multiply
    335,368.50x = 498,495.50 × 498,495.50
  4. Step 4: Simplify right side
    335,368.50x = 248,497,763,520.25
  5. Step 5: Solve for x
    x = 248,497,763,520.25/335,368.50
  6. Step 6: Final answer
    x = 740,969.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.