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Finding the Third Proportional to 433,927 and 649,319

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Solution

The third proportional to 433,927 and 649,319 is: 971,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,927 : 649,319 = 649,319 : x
  2. Step 2: Convert to fraction form
    433,927/649,319 = 649,319/x
  3. Step 3: Cross multiply
    433,927x = 649,319 × 649,319
  4. Step 4: Simplify right side
    433,927x = 421,615,163,761
  5. Step 5: Solve for x
    x = 421,615,163,761/433,927
  6. Step 6: Final answer
    x = 971,626.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.