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Finding the Third Proportional to 493,590 and 746,460

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Solution

The third proportional to 493,590 and 746,460 is: 1,128,877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,590 : 746,460 = 746,460 : x
  2. Step 2: Convert to fraction form
    493,590/746,460 = 746,460/x
  3. Step 3: Cross multiply
    493,590x = 746,460 × 746,460
  4. Step 4: Simplify right side
    493,590x = 557,202,531,600
  5. Step 5: Solve for x
    x = 557,202,531,600/493,590
  6. Step 6: Final answer
    x = 1,128,877.27

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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.