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Finding the Third Proportional to 424,668.50 and 924,265

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Solution

The third proportional to 424,668.50 and 924,265 is: 2,011,606.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,668.50 : 924,265 = 924,265 : x
  2. Step 2: Convert to fraction form
    424,668.50/924,265 = 924,265/x
  3. Step 3: Cross multiply
    424,668.50x = 924,265 × 924,265
  4. Step 4: Simplify right side
    424,668.50x = 854,265,790,225
  5. Step 5: Solve for x
    x = 854,265,790,225/424,668.50
  6. Step 6: Final answer
    x = 2,011,606.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.