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Finding the Third Proportional to 344,658.50 and 504,972

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Solution

The third proportional to 344,658.50 and 504,972 is: 739,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,658.50 : 504,972 = 504,972 : x
  2. Step 2: Convert to fraction form
    344,658.50/504,972 = 504,972/x
  3. Step 3: Cross multiply
    344,658.50x = 504,972 × 504,972
  4. Step 4: Simplify right side
    344,658.50x = 254,996,720,784
  5. Step 5: Solve for x
    x = 254,996,720,784/344,658.50
  6. Step 6: Final answer
    x = 739,853.28

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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.