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Finding the Third Proportional to 201,784.50 and 424,482

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Solution

The third proportional to 201,784.50 and 424,482 is: 892,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,784.50 : 424,482 = 424,482 : x
  2. Step 2: Convert to fraction form
    201,784.50/424,482 = 424,482/x
  3. Step 3: Cross multiply
    201,784.50x = 424,482 × 424,482
  4. Step 4: Simplify right side
    201,784.50x = 180,184,968,324
  5. Step 5: Solve for x
    x = 180,184,968,324/201,784.50
  6. Step 6: Final answer
    x = 892,957.43

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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.