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Finding the Third Proportional to 437,070 and 675,015

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Solution

The third proportional to 437,070 and 675,015 is: 1,042,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,070 : 675,015 = 675,015 : x
  2. Step 2: Convert to fraction form
    437,070/675,015 = 675,015/x
  3. Step 3: Cross multiply
    437,070x = 675,015 × 675,015
  4. Step 4: Simplify right side
    437,070x = 455,645,250,225
  5. Step 5: Solve for x
    x = 455,645,250,225/437,070
  6. Step 6: Final answer
    x = 1,042,499.49

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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.