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Finding the Third Proportional to 437,070 and 675,013

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Solution

The third proportional to 437,070 and 675,013 is: 1,042,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,070 : 675,013 = 675,013 : x
  2. Step 2: Convert to fraction form
    437,070/675,013 = 675,013/x
  3. Step 3: Cross multiply
    437,070x = 675,013 × 675,013
  4. Step 4: Simplify right side
    437,070x = 455,642,550,169
  5. Step 5: Solve for x
    x = 455,642,550,169/437,070
  6. Step 6: Final answer
    x = 1,042,493.31

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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.