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Finding the Third Proportional to 286,267.50 and 611,901

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Solution

The third proportional to 286,267.50 and 611,901 is: 1,307,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,267.50 : 611,901 = 611,901 : x
  2. Step 2: Convert to fraction form
    286,267.50/611,901 = 611,901/x
  3. Step 3: Cross multiply
    286,267.50x = 611,901 × 611,901
  4. Step 4: Simplify right side
    286,267.50x = 374,422,833,801
  5. Step 5: Solve for x
    x = 374,422,833,801/286,267.50
  6. Step 6: Final answer
    x = 1,307,947.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.