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Finding the Third Proportional to 341,417 and 735,138

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Solution

The third proportional to 341,417 and 735,138 is: 1,582,896.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,417 : 735,138 = 735,138 : x
  2. Step 2: Convert to fraction form
    341,417/735,138 = 735,138/x
  3. Step 3: Cross multiply
    341,417x = 735,138 × 735,138
  4. Step 4: Simplify right side
    341,417x = 540,427,879,044
  5. Step 5: Solve for x
    x = 540,427,879,044/341,417
  6. Step 6: Final answer
    x = 1,582,896.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.