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Finding the Third Proportional to 468,138 and 705,504

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Solution

The third proportional to 468,138 and 705,504 is: 1,063,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,138 : 705,504 = 705,504 : x
  2. Step 2: Convert to fraction form
    468,138/705,504 = 705,504/x
  3. Step 3: Cross multiply
    468,138x = 705,504 × 705,504
  4. Step 4: Simplify right side
    468,138x = 497,735,894,016
  5. Step 5: Solve for x
    x = 497,735,894,016/468,138
  6. Step 6: Final answer
    x = 1,063,224.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.