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Finding the Third Proportional to 256,342 and 562,604

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Solution

The third proportional to 256,342 and 562,604 is: 1,234,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,342 : 562,604 = 562,604 : x
  2. Step 2: Convert to fraction form
    256,342/562,604 = 562,604/x
  3. Step 3: Cross multiply
    256,342x = 562,604 × 562,604
  4. Step 4: Simplify right side
    256,342x = 316,523,260,816
  5. Step 5: Solve for x
    x = 316,523,260,816/256,342
  6. Step 6: Final answer
    x = 1,234,769.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.