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Finding the Third Proportional to 201,804.19 and 424,519.88

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Solution

The third proportional to 201,804.19 and 424,519.88 is: 893,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,804.19 : 424,519.88 = 424,519.88 : x
  2. Step 2: Convert to fraction form
    201,804.19/424,519.88 = 424,519.88/x
  3. Step 3: Cross multiply
    201,804.19x = 424,519.88 × 424,519.88
  4. Step 4: Simplify right side
    201,804.19x = 180,217,124,270.02
  5. Step 5: Solve for x
    x = 180,217,124,270.02/201,804.19
  6. Step 6: Final answer
    x = 893,029.66

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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.