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Finding the Third Proportional to 625,076 and 967,278

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Solution

The third proportional to 625,076 and 967,278 is: 1,496,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,076 : 967,278 = 967,278 : x
  2. Step 2: Convert to fraction form
    625,076/967,278 = 967,278/x
  3. Step 3: Cross multiply
    625,076x = 967,278 × 967,278
  4. Step 4: Simplify right side
    625,076x = 935,626,729,284
  5. Step 5: Solve for x
    x = 935,626,729,284/625,076
  6. Step 6: Final answer
    x = 1,496,820.75

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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.