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Finding the Third Proportional to 468,054 and 668,829

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Solution

The third proportional to 468,054 and 668,829 is: 955,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,054 : 668,829 = 668,829 : x
  2. Step 2: Convert to fraction form
    468,054/668,829 = 668,829/x
  3. Step 3: Cross multiply
    468,054x = 668,829 × 668,829
  4. Step 4: Simplify right side
    468,054x = 447,332,231,241
  5. Step 5: Solve for x
    x = 447,332,231,241/468,054
  6. Step 6: Final answer
    x = 955,727.82

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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.