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Finding the Third Proportional to 392,451.75 and 844,803

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Solution

The third proportional to 392,451.75 and 844,803 is: 1,818,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,451.75 : 844,803 = 844,803 : x
  2. Step 2: Convert to fraction form
    392,451.75/844,803 = 844,803/x
  3. Step 3: Cross multiply
    392,451.75x = 844,803 × 844,803
  4. Step 4: Simplify right side
    392,451.75x = 713,692,108,809
  5. Step 5: Solve for x
    x = 713,692,108,809/392,451.75
  6. Step 6: Final answer
    x = 1,818,547.40

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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.