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Finding the Third Proportional to 536,293 and 788,022

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Solution

The third proportional to 536,293 and 788,022 is: 1,157,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,293 : 788,022 = 788,022 : x
  2. Step 2: Convert to fraction form
    536,293/788,022 = 788,022/x
  3. Step 3: Cross multiply
    536,293x = 788,022 × 788,022
  4. Step 4: Simplify right side
    536,293x = 620,978,672,484
  5. Step 5: Solve for x
    x = 620,978,672,484/536,293
  6. Step 6: Final answer
    x = 1,157,909.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.