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Finding the Third Proportional to 300,516 and 634,566

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Solution

The third proportional to 300,516 and 634,566 is: 1,339,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,516 : 634,566 = 634,566 : x
  2. Step 2: Convert to fraction form
    300,516/634,566 = 634,566/x
  3. Step 3: Cross multiply
    300,516x = 634,566 × 634,566
  4. Step 4: Simplify right side
    300,516x = 402,674,008,356
  5. Step 5: Solve for x
    x = 402,674,008,356/300,516
  6. Step 6: Final answer
    x = 1,339,941.99

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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.