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Finding the Third Proportional to 437,100 and 675,060

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Solution

The third proportional to 437,100 and 675,060 is: 1,042,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,100 : 675,060 = 675,060 : x
  2. Step 2: Convert to fraction form
    437,100/675,060 = 675,060/x
  3. Step 3: Cross multiply
    437,100x = 675,060 × 675,060
  4. Step 4: Simplify right side
    437,100x = 455,706,003,600
  5. Step 5: Solve for x
    x = 455,706,003,600/437,100
  6. Step 6: Final answer
    x = 1,042,566.93

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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.