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Finding the Third Proportional to 236,992.50 and 526,473

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Solution

The third proportional to 236,992.50 and 526,473 is: 1,169,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,992.50 : 526,473 = 526,473 : x
  2. Step 2: Convert to fraction form
    236,992.50/526,473 = 526,473/x
  3. Step 3: Cross multiply
    236,992.50x = 526,473 × 526,473
  4. Step 4: Simplify right side
    236,992.50x = 277,173,819,729
  5. Step 5: Solve for x
    x = 277,173,819,729/236,992.50
  6. Step 6: Final answer
    x = 1,169,546.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.