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Finding the Third Proportional to 346,767 and 544,112

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Solution

The third proportional to 346,767 and 544,112 is: 853,765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,767 : 544,112 = 544,112 : x
  2. Step 2: Convert to fraction form
    346,767/544,112 = 544,112/x
  3. Step 3: Cross multiply
    346,767x = 544,112 × 544,112
  4. Step 4: Simplify right side
    346,767x = 296,057,868,544
  5. Step 5: Solve for x
    x = 296,057,868,544/346,767
  6. Step 6: Final answer
    x = 853,765.98

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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.