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Finding the Third Proportional to 482,835.94 and 746,445.38

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Solution

The third proportional to 482,835.94 and 746,445.38 is: 1,153,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,835.94 : 746,445.38 = 746,445.38 : x
  2. Step 2: Convert to fraction form
    482,835.94/746,445.38 = 746,445.38/x
  3. Step 3: Cross multiply
    482,835.94x = 746,445.38 × 746,445.38
  4. Step 4: Simplify right side
    482,835.94x = 557,180,697,858.89
  5. Step 5: Solve for x
    x = 557,180,697,858.89/482,835.94
  6. Step 6: Final answer
    x = 1,153,975.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.