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Finding the Third Proportional to 311,938 and 638,654

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Solution

The third proportional to 311,938 and 638,654 is: 1,307,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,938 : 638,654 = 638,654 : x
  2. Step 2: Convert to fraction form
    311,938/638,654 = 638,654/x
  3. Step 3: Cross multiply
    311,938x = 638,654 × 638,654
  4. Step 4: Simplify right side
    311,938x = 407,878,931,716
  5. Step 5: Solve for x
    x = 407,878,931,716/311,938
  6. Step 6: Final answer
    x = 1,307,564.10

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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.