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Finding the Third Proportional to 296,558 and 649,574

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Solution

The third proportional to 296,558 and 649,574 is: 1,422,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,558 : 649,574 = 649,574 : x
  2. Step 2: Convert to fraction form
    296,558/649,574 = 649,574/x
  3. Step 3: Cross multiply
    296,558x = 649,574 × 649,574
  4. Step 4: Simplify right side
    296,558x = 421,946,381,476
  5. Step 5: Solve for x
    x = 421,946,381,476/296,558
  6. Step 6: Final answer
    x = 1,422,812.34

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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.