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Finding the Third Proportional to 468,162 and 705,552.75

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Solution

The third proportional to 468,162 and 705,552.75 is: 1,063,317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,162 : 705,552.75 = 705,552.75 : x
  2. Step 2: Convert to fraction form
    468,162/705,552.75 = 705,552.75/x
  3. Step 3: Cross multiply
    468,162x = 705,552.75 × 705,552.75
  4. Step 4: Simplify right side
    468,162x = 497,804,683,032.56
  5. Step 5: Solve for x
    x = 497,804,683,032.56/468,162
  6. Step 6: Final answer
    x = 1,063,317.15

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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.