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Finding the Third Proportional to 534,738 and 778,029

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Solution

The third proportional to 534,738 and 778,029 is: 1,132,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,738 : 778,029 = 778,029 : x
  2. Step 2: Convert to fraction form
    534,738/778,029 = 778,029/x
  3. Step 3: Cross multiply
    534,738x = 778,029 × 778,029
  4. Step 4: Simplify right side
    534,738x = 605,329,124,841
  5. Step 5: Solve for x
    x = 605,329,124,841/534,738
  6. Step 6: Final answer
    x = 1,132,010.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.