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Finding the Third Proportional to 300,746 and 626,371

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Solution

The third proportional to 300,746 and 626,371 is: 1,304,558.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,746 : 626,371 = 626,371 : x
  2. Step 2: Convert to fraction form
    300,746/626,371 = 626,371/x
  3. Step 3: Cross multiply
    300,746x = 626,371 × 626,371
  4. Step 4: Simplify right side
    300,746x = 392,340,629,641
  5. Step 5: Solve for x
    x = 392,340,629,641/300,746
  6. Step 6: Final answer
    x = 1,304,558.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.