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Finding the Third Proportional to 375,482 and 782,032

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Solution

The third proportional to 375,482 and 782,032 is: 1,628,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,482 : 782,032 = 782,032 : x
  2. Step 2: Convert to fraction form
    375,482/782,032 = 782,032/x
  3. Step 3: Cross multiply
    375,482x = 782,032 × 782,032
  4. Step 4: Simplify right side
    375,482x = 611,574,049,024
  5. Step 5: Solve for x
    x = 611,574,049,024/375,482
  6. Step 6: Final answer
    x = 1,628,770.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.