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Finding the Third Proportional to 369,605 and 756,706

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Solution

The third proportional to 369,605 and 756,706 is: 1,549,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,605 : 756,706 = 756,706 : x
  2. Step 2: Convert to fraction form
    369,605/756,706 = 756,706/x
  3. Step 3: Cross multiply
    369,605x = 756,706 × 756,706
  4. Step 4: Simplify right side
    369,605x = 572,603,970,436
  5. Step 5: Solve for x
    x = 572,603,970,436/369,605
  6. Step 6: Final answer
    x = 1,549,232.21

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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.