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Finding the Third Proportional to 280,608 and 429,264

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Solution

The third proportional to 280,608 and 429,264 is: 656,672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,608 : 429,264 = 429,264 : x
  2. Step 2: Convert to fraction form
    280,608/429,264 = 429,264/x
  3. Step 3: Cross multiply
    280,608x = 429,264 × 429,264
  4. Step 4: Simplify right side
    280,608x = 184,267,581,696
  5. Step 5: Solve for x
    x = 184,267,581,696/280,608
  6. Step 6: Final answer
    x = 656,672.59

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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.