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Finding the Third Proportional to 367,021 and 534,553

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Solution

The third proportional to 367,021 and 534,553 is: 778,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,021 : 534,553 = 534,553 : x
  2. Step 2: Convert to fraction form
    367,021/534,553 = 534,553/x
  3. Step 3: Cross multiply
    367,021x = 534,553 × 534,553
  4. Step 4: Simplify right side
    367,021x = 285,746,909,809
  5. Step 5: Solve for x
    x = 285,746,909,809/367,021
  6. Step 6: Final answer
    x = 778,557.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.