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Finding the Third Proportional to 480,846 and 683,466

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Solution

The third proportional to 480,846 and 683,466 is: 971,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,846 : 683,466 = 683,466 : x
  2. Step 2: Convert to fraction form
    480,846/683,466 = 683,466/x
  3. Step 3: Cross multiply
    480,846x = 683,466 × 683,466
  4. Step 4: Simplify right side
    480,846x = 467,125,773,156
  5. Step 5: Solve for x
    x = 467,125,773,156/480,846
  6. Step 6: Final answer
    x = 971,466.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.