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Finding the Third Proportional to 424,666.50 and 920,181

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Solution

The third proportional to 424,666.50 and 920,181 is: 1,993,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,666.50 : 920,181 = 920,181 : x
  2. Step 2: Convert to fraction form
    424,666.50/920,181 = 920,181/x
  3. Step 3: Cross multiply
    424,666.50x = 920,181 × 920,181
  4. Step 4: Simplify right side
    424,666.50x = 846,733,072,761
  5. Step 5: Solve for x
    x = 846,733,072,761/424,666.50
  6. Step 6: Final answer
    x = 1,993,877.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.