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Finding the Third Proportional to 437,071.50 and 675,015.75

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Solution

The third proportional to 437,071.50 and 675,015.75 is: 1,042,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,071.50 : 675,015.75 = 675,015.75 : x
  2. Step 2: Convert to fraction form
    437,071.50/675,015.75 = 675,015.75/x
  3. Step 3: Cross multiply
    437,071.50x = 675,015.75 × 675,015.75
  4. Step 4: Simplify right side
    437,071.50x = 455,646,262,748.06
  5. Step 5: Solve for x
    x = 455,646,262,748.06/437,071.50
  6. Step 6: Final answer
    x = 1,042,498.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.