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Finding the Third Proportional to 422,922 and 576,047

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Solution

The third proportional to 422,922 and 576,047 is: 784,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,922 : 576,047 = 576,047 : x
  2. Step 2: Convert to fraction form
    422,922/576,047 = 576,047/x
  3. Step 3: Cross multiply
    422,922x = 576,047 × 576,047
  4. Step 4: Simplify right side
    422,922x = 331,830,146,209
  5. Step 5: Solve for x
    x = 331,830,146,209/422,922
  6. Step 6: Final answer
    x = 784,613.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.