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Finding the Third Proportional to 424,393 and 613,746

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Solution

The third proportional to 424,393 and 613,746 is: 887,583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,393 : 613,746 = 613,746 : x
  2. Step 2: Convert to fraction form
    424,393/613,746 = 613,746/x
  3. Step 3: Cross multiply
    424,393x = 613,746 × 613,746
  4. Step 4: Simplify right side
    424,393x = 376,684,152,516
  5. Step 5: Solve for x
    x = 376,684,152,516/424,393
  6. Step 6: Final answer
    x = 887,583.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.