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Finding the Third Proportional to 369,742 and 756,998

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Solution

The third proportional to 369,742 and 756,998 is: 1,549,853.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,742 : 756,998 = 756,998 : x
  2. Step 2: Convert to fraction form
    369,742/756,998 = 756,998/x
  3. Step 3: Cross multiply
    369,742x = 756,998 × 756,998
  4. Step 4: Simplify right side
    369,742x = 573,045,972,004
  5. Step 5: Solve for x
    x = 573,045,972,004/369,742
  6. Step 6: Final answer
    x = 1,549,853.61

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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.