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Finding the Third Proportional to 300,535 and 634,604

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Solution

The third proportional to 300,535 and 634,604 is: 1,340,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,535 : 634,604 = 634,604 : x
  2. Step 2: Convert to fraction form
    300,535/634,604 = 634,604/x
  3. Step 3: Cross multiply
    300,535x = 634,604 × 634,604
  4. Step 4: Simplify right side
    300,535x = 402,722,236,816
  5. Step 5: Solve for x
    x = 402,722,236,816/300,535
  6. Step 6: Final answer
    x = 1,340,017.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.