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Finding the Third Proportional to 340,944.19 and 534,841.10

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Solution

The third proportional to 340,944.19 and 534,841.10 is: 839,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,944.19 : 534,841.10 = 534,841.10 : x
  2. Step 2: Convert to fraction form
    340,944.19/534,841.10 = 534,841.10/x
  3. Step 3: Cross multiply
    340,944.19x = 534,841.10 × 534,841.10
  4. Step 4: Simplify right side
    340,944.19x = 286,055,003,920.59
  5. Step 5: Solve for x
    x = 286,055,003,920.59/340,944.19
  6. Step 6: Final answer
    x = 839,008.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.