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Finding the Third Proportional to 343,533.66 and 505,037.53

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Solution

The third proportional to 343,533.66 and 505,037.53 is: 742,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,533.66 : 505,037.53 = 505,037.53 : x
  2. Step 2: Convert to fraction form
    343,533.66/505,037.53 = 505,037.53/x
  3. Step 3: Cross multiply
    343,533.66x = 505,037.53 × 505,037.53
  4. Step 4: Simplify right side
    343,533.66x = 255,062,907,971.10
  5. Step 5: Solve for x
    x = 255,062,907,971.10/343,533.66
  6. Step 6: Final answer
    x = 742,468.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.