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Finding the Third Proportional to 343,749 and 738,276

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Solution

The third proportional to 343,749 and 738,276 is: 1,585,608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,749 : 738,276 = 738,276 : x
  2. Step 2: Convert to fraction form
    343,749/738,276 = 738,276/x
  3. Step 3: Cross multiply
    343,749x = 738,276 × 738,276
  4. Step 4: Simplify right side
    343,749x = 545,051,452,176
  5. Step 5: Solve for x
    x = 545,051,452,176/343,749
  6. Step 6: Final answer
    x = 1,585,608.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.