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Finding the Third Proportional to 468,078 and 705,420

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Solution

The third proportional to 468,078 and 705,420 is: 1,063,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,078 : 705,420 = 705,420 : x
  2. Step 2: Convert to fraction form
    468,078/705,420 = 705,420/x
  3. Step 3: Cross multiply
    468,078x = 705,420 × 705,420
  4. Step 4: Simplify right side
    468,078x = 497,617,376,400
  5. Step 5: Solve for x
    x = 497,617,376,400/468,078
  6. Step 6: Final answer
    x = 1,063,107.81

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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.