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Finding the Third Proportional to 467,445.62 and 668,389.06

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Solution

The third proportional to 467,445.62 and 668,389.06 is: 955,713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,445.62 : 668,389.06 = 668,389.06 : x
  2. Step 2: Convert to fraction form
    467,445.62/668,389.06 = 668,389.06/x
  3. Step 3: Cross multiply
    467,445.62x = 668,389.06 × 668,389.06
  4. Step 4: Simplify right side
    467,445.62x = 446,743,936,258.71
  5. Step 5: Solve for x
    x = 446,743,936,258.71/467,445.62
  6. Step 6: Final answer
    x = 955,713.17

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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.