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Finding the Third Proportional to 369,606 and 756,708

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Solution

The third proportional to 369,606 and 756,708 is: 1,549,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,606 : 756,708 = 756,708 : x
  2. Step 2: Convert to fraction form
    369,606/756,708 = 756,708/x
  3. Step 3: Cross multiply
    369,606x = 756,708 × 756,708
  4. Step 4: Simplify right side
    369,606x = 572,606,997,264
  5. Step 5: Solve for x
    x = 572,606,997,264/369,606
  6. Step 6: Final answer
    x = 1,549,236.21

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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.