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Finding the Third Proportional to 369,676 and 756,838

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Solution

The third proportional to 369,676 and 756,838 is: 1,549,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,676 : 756,838 = 756,838 : x
  2. Step 2: Convert to fraction form
    369,676/756,838 = 756,838/x
  3. Step 3: Cross multiply
    369,676x = 756,838 × 756,838
  4. Step 4: Simplify right side
    369,676x = 572,803,758,244
  5. Step 5: Solve for x
    x = 572,803,758,244/369,676
  6. Step 6: Final answer
    x = 1,549,475.10

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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.