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Finding the Third Proportional to 467,862.75 and 705,121.88

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Solution

The third proportional to 467,862.75 and 705,121.88 is: 1,062,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,862.75 : 705,121.88 = 705,121.88 : x
  2. Step 2: Convert to fraction form
    467,862.75/705,121.88 = 705,121.88/x
  3. Step 3: Cross multiply
    467,862.75x = 705,121.88 × 705,121.88
  4. Step 4: Simplify right side
    467,862.75x = 497,196,858,603.52
  5. Step 5: Solve for x
    x = 497,196,858,603.52/467,862.75
  6. Step 6: Final answer
    x = 1,062,698.11

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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.