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Finding the Third Proportional to 201,902.63 and 424,718.44

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Solution

The third proportional to 201,902.63 and 424,718.44 is: 893,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,902.63 : 424,718.44 = 424,718.44 : x
  2. Step 2: Convert to fraction form
    201,902.63/424,718.44 = 424,718.44/x
  3. Step 3: Cross multiply
    201,902.63x = 424,718.44 × 424,718.44
  4. Step 4: Simplify right side
    201,902.63x = 180,385,751,152.44
  5. Step 5: Solve for x
    x = 180,385,751,152.44/201,902.63
  6. Step 6: Final answer
    x = 893,429.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.