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Finding the Third Proportional to 345,305 and 738,580

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Solution

The third proportional to 345,305 and 738,580 is: 1,579,764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,305 : 738,580 = 738,580 : x
  2. Step 2: Convert to fraction form
    345,305/738,580 = 738,580/x
  3. Step 3: Cross multiply
    345,305x = 738,580 × 738,580
  4. Step 4: Simplify right side
    345,305x = 545,500,416,400
  5. Step 5: Solve for x
    x = 545,500,416,400/345,305
  6. Step 6: Final answer
    x = 1,579,764.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.