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Finding the Third Proportional to 625,072 and 967,272

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Solution

The third proportional to 625,072 and 967,272 is: 1,496,811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,072 : 967,272 = 967,272 : x
  2. Step 2: Convert to fraction form
    625,072/967,272 = 967,272/x
  3. Step 3: Cross multiply
    625,072x = 967,272 × 967,272
  4. Step 4: Simplify right side
    625,072x = 935,615,121,984
  5. Step 5: Solve for x
    x = 935,615,121,984/625,072
  6. Step 6: Final answer
    x = 1,496,811.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.