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Finding the Third Proportional to 343,752 and 738,282

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Solution

The third proportional to 343,752 and 738,282 is: 1,585,620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,752 : 738,282 = 738,282 : x
  2. Step 2: Convert to fraction form
    343,752/738,282 = 738,282/x
  3. Step 3: Cross multiply
    343,752x = 738,282 × 738,282
  4. Step 4: Simplify right side
    343,752x = 545,060,311,524
  5. Step 5: Solve for x
    x = 545,060,311,524/343,752
  6. Step 6: Final answer
    x = 1,585,620.77

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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.