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Finding the Third Proportional to 315,306 and 737,559

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Solution

The third proportional to 315,306 and 737,559 is: 1,725,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,306 : 737,559 = 737,559 : x
  2. Step 2: Convert to fraction form
    315,306/737,559 = 737,559/x
  3. Step 3: Cross multiply
    315,306x = 737,559 × 737,559
  4. Step 4: Simplify right side
    315,306x = 543,993,278,481
  5. Step 5: Solve for x
    x = 543,993,278,481/315,306
  6. Step 6: Final answer
    x = 1,725,286.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.