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Finding the Third Proportional to 437,071.50 and 675,013.50

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Solution

The third proportional to 437,071.50 and 675,013.50 is: 1,042,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,071.50 : 675,013.50 = 675,013.50 : x
  2. Step 2: Convert to fraction form
    437,071.50/675,013.50 = 675,013.50/x
  3. Step 3: Cross multiply
    437,071.50x = 675,013.50 × 675,013.50
  4. Step 4: Simplify right side
    437,071.50x = 455,643,225,182.25
  5. Step 5: Solve for x
    x = 455,643,225,182.25/437,071.50
  6. Step 6: Final answer
    x = 1,042,491.27

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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.