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Finding the Third Proportional to 493,602 and 746,475

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Solution

The third proportional to 493,602 and 746,475 is: 1,128,895.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,602 : 746,475 = 746,475 : x
  2. Step 2: Convert to fraction form
    493,602/746,475 = 746,475/x
  3. Step 3: Cross multiply
    493,602x = 746,475 × 746,475
  4. Step 4: Simplify right side
    493,602x = 557,224,925,625
  5. Step 5: Solve for x
    x = 557,224,925,625/493,602
  6. Step 6: Final answer
    x = 1,128,895.19

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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.