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Finding the Third Proportional to 424,635.75 and 651,699

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Solution

The third proportional to 424,635.75 and 651,699 is: 1,000,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,635.75 : 651,699 = 651,699 : x
  2. Step 2: Convert to fraction form
    424,635.75/651,699 = 651,699/x
  3. Step 3: Cross multiply
    424,635.75x = 651,699 × 651,699
  4. Step 4: Simplify right side
    424,635.75x = 424,711,586,601
  5. Step 5: Solve for x
    x = 424,711,586,601/424,635.75
  6. Step 6: Final answer
    x = 1,000,178.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.