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Finding the Third Proportional to 344,608 and 503,545

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Solution

The third proportional to 344,608 and 503,545 is: 735,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,608 : 503,545 = 503,545 : x
  2. Step 2: Convert to fraction form
    344,608/503,545 = 503,545/x
  3. Step 3: Cross multiply
    344,608x = 503,545 × 503,545
  4. Step 4: Simplify right side
    344,608x = 253,557,567,025
  5. Step 5: Solve for x
    x = 253,557,567,025/344,608
  6. Step 6: Final answer
    x = 735,785.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.