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Finding the Third Proportional to 437,068 and 675,010

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Solution

The third proportional to 437,068 and 675,010 is: 1,042,488.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,068 : 675,010 = 675,010 : x
  2. Step 2: Convert to fraction form
    437,068/675,010 = 675,010/x
  3. Step 3: Cross multiply
    437,068x = 675,010 × 675,010
  4. Step 4: Simplify right side
    437,068x = 455,638,500,100
  5. Step 5: Solve for x
    x = 455,638,500,100/437,068
  6. Step 6: Final answer
    x = 1,042,488.81

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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.