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Finding the Third Proportional to 348,844 and 750,932

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Solution

The third proportional to 348,844 and 750,932 is: 1,616,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,844 : 750,932 = 750,932 : x
  2. Step 2: Convert to fraction form
    348,844/750,932 = 750,932/x
  3. Step 3: Cross multiply
    348,844x = 750,932 × 750,932
  4. Step 4: Simplify right side
    348,844x = 563,898,868,624
  5. Step 5: Solve for x
    x = 563,898,868,624/348,844
  6. Step 6: Final answer
    x = 1,616,478.62

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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.