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Finding the Third Proportional to 384,938 and 604,695

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Solution

The third proportional to 384,938 and 604,695 is: 949,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,938 : 604,695 = 604,695 : x
  2. Step 2: Convert to fraction form
    384,938/604,695 = 604,695/x
  3. Step 3: Cross multiply
    384,938x = 604,695 × 604,695
  4. Step 4: Simplify right side
    384,938x = 365,656,043,025
  5. Step 5: Solve for x
    x = 365,656,043,025/384,938
  6. Step 6: Final answer
    x = 949,908.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.