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Finding the Third Proportional to 468,051 and 668,828

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Solution

The third proportional to 468,051 and 668,828 is: 955,731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,051 : 668,828 = 668,828 : x
  2. Step 2: Convert to fraction form
    468,051/668,828 = 668,828/x
  3. Step 3: Cross multiply
    468,051x = 668,828 × 668,828
  4. Step 4: Simplify right side
    468,051x = 447,330,893,584
  5. Step 5: Solve for x
    x = 447,330,893,584/468,051
  6. Step 6: Final answer
    x = 955,731.09

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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.