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Finding the Third Proportional to 263,703 and 568,473

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Solution

The third proportional to 263,703 and 568,473 is: 1,225,475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,703 : 568,473 = 568,473 : x
  2. Step 2: Convert to fraction form
    263,703/568,473 = 568,473/x
  3. Step 3: Cross multiply
    263,703x = 568,473 × 568,473
  4. Step 4: Simplify right side
    263,703x = 323,161,551,729
  5. Step 5: Solve for x
    x = 323,161,551,729/263,703
  6. Step 6: Final answer
    x = 1,225,475.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.