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Finding the Third Proportional to 344,678.63 and 505,426.50

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Solution

The third proportional to 344,678.63 and 505,426.50 is: 741,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,678.63 : 505,426.50 = 505,426.50 : x
  2. Step 2: Convert to fraction form
    344,678.63/505,426.50 = 505,426.50/x
  3. Step 3: Cross multiply
    344,678.63x = 505,426.50 × 505,426.50
  4. Step 4: Simplify right side
    344,678.63x = 255,455,946,902.25
  5. Step 5: Solve for x
    x = 255,455,946,902.25/344,678.63
  6. Step 6: Final answer
    x = 741,142.41

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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.