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Finding the Third Proportional to 438,941 and 641,685

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Solution

The third proportional to 438,941 and 641,685 is: 938,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,941 : 641,685 = 641,685 : x
  2. Step 2: Convert to fraction form
    438,941/641,685 = 641,685/x
  3. Step 3: Cross multiply
    438,941x = 641,685 × 641,685
  4. Step 4: Simplify right side
    438,941x = 411,759,639,225
  5. Step 5: Solve for x
    x = 411,759,639,225/438,941
  6. Step 6: Final answer
    x = 938,075.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.