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Finding the Third Proportional to 348,033 and 759,984

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Solution

The third proportional to 348,033 and 759,984 is: 1,659,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,033 : 759,984 = 759,984 : x
  2. Step 2: Convert to fraction form
    348,033/759,984 = 759,984/x
  3. Step 3: Cross multiply
    348,033x = 759,984 × 759,984
  4. Step 4: Simplify right side
    348,033x = 577,575,680,256
  5. Step 5: Solve for x
    x = 577,575,680,256/348,033
  6. Step 6: Final answer
    x = 1,659,542.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.