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Finding the Third Proportional to 346,766 and 544,110

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Solution

The third proportional to 346,766 and 544,110 is: 853,762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,766 : 544,110 = 544,110 : x
  2. Step 2: Convert to fraction form
    346,766/544,110 = 544,110/x
  3. Step 3: Cross multiply
    346,766x = 544,110 × 544,110
  4. Step 4: Simplify right side
    346,766x = 296,055,692,100
  5. Step 5: Solve for x
    x = 296,055,692,100/346,766
  6. Step 6: Final answer
    x = 853,762.17

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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.