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Finding the Third Proportional to 413,940 and 623,328

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Solution

The third proportional to 413,940 and 623,328 is: 938,633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,940 : 623,328 = 623,328 : x
  2. Step 2: Convert to fraction form
    413,940/623,328 = 623,328/x
  3. Step 3: Cross multiply
    413,940x = 623,328 × 623,328
  4. Step 4: Simplify right side
    413,940x = 388,537,795,584
  5. Step 5: Solve for x
    x = 388,537,795,584/413,940
  6. Step 6: Final answer
    x = 938,633.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.