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Finding the Third Proportional to 346,770 and 544,114

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Solution

The third proportional to 346,770 and 544,114 is: 853,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,770 : 544,114 = 544,114 : x
  2. Step 2: Convert to fraction form
    346,770/544,114 = 544,114/x
  3. Step 3: Cross multiply
    346,770x = 544,114 × 544,114
  4. Step 4: Simplify right side
    346,770x = 296,060,044,996
  5. Step 5: Solve for x
    x = 296,060,044,996/346,770
  6. Step 6: Final answer
    x = 853,764.87

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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.