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Finding the Third Proportional to 369,747 and 757,017

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Solution

The third proportional to 369,747 and 757,017 is: 1,549,910.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,747 : 757,017 = 757,017 : x
  2. Step 2: Convert to fraction form
    369,747/757,017 = 757,017/x
  3. Step 3: Cross multiply
    369,747x = 757,017 × 757,017
  4. Step 4: Simplify right side
    369,747x = 573,074,738,289
  5. Step 5: Solve for x
    x = 573,074,738,289/369,747
  6. Step 6: Final answer
    x = 1,549,910.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.