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Finding the Third Proportional to 467,664 and 668,796

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Solution

The third proportional to 467,664 and 668,796 is: 956,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,664 : 668,796 = 668,796 : x
  2. Step 2: Convert to fraction form
    467,664/668,796 = 668,796/x
  3. Step 3: Cross multiply
    467,664x = 668,796 × 668,796
  4. Step 4: Simplify right side
    467,664x = 447,288,089,616
  5. Step 5: Solve for x
    x = 447,288,089,616/467,664
  6. Step 6: Final answer
    x = 956,430.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.