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Finding the Third Proportional to 346,765 and 544,109

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Solution

The third proportional to 346,765 and 544,109 is: 853,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,765 : 544,109 = 544,109 : x
  2. Step 2: Convert to fraction form
    346,765/544,109 = 544,109/x
  3. Step 3: Cross multiply
    346,765x = 544,109 × 544,109
  4. Step 4: Simplify right side
    346,765x = 296,054,603,881
  5. Step 5: Solve for x
    x = 296,054,603,881/346,765
  6. Step 6: Final answer
    x = 853,761.49

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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.