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Finding the Third Proportional to 344,907 and 503,968.50

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Solution

The third proportional to 344,907 and 503,968.50 is: 736,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,907 : 503,968.50 = 503,968.50 : x
  2. Step 2: Convert to fraction form
    344,907/503,968.50 = 503,968.50/x
  3. Step 3: Cross multiply
    344,907x = 503,968.50 × 503,968.50
  4. Step 4: Simplify right side
    344,907x = 253,984,248,992.25
  5. Step 5: Solve for x
    x = 253,984,248,992.25/344,907
  6. Step 6: Final answer
    x = 736,384.73

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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.