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Finding the Third Proportional to 616,467 and 967,297

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Solution

The third proportional to 616,467 and 967,297 is: 1,517,783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,467 : 967,297 = 967,297 : x
  2. Step 2: Convert to fraction form
    616,467/967,297 = 967,297/x
  3. Step 3: Cross multiply
    616,467x = 967,297 × 967,297
  4. Step 4: Simplify right side
    616,467x = 935,663,486,209
  5. Step 5: Solve for x
    x = 935,663,486,209/616,467
  6. Step 6: Final answer
    x = 1,517,783.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.