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Finding the Third Proportional to 300,545 and 634,624

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Solution

The third proportional to 300,545 and 634,624 is: 1,340,057.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,545 : 634,624 = 634,624 : x
  2. Step 2: Convert to fraction form
    300,545/634,624 = 634,624/x
  3. Step 3: Cross multiply
    300,545x = 634,624 × 634,624
  4. Step 4: Simplify right side
    300,545x = 402,747,621,376
  5. Step 5: Solve for x
    x = 402,747,621,376/300,545
  6. Step 6: Final answer
    x = 1,340,057.63

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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.