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Finding the Third Proportional to 392,546 and 847,300

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Solution

The third proportional to 392,546 and 847,300 is: 1,828,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,546 : 847,300 = 847,300 : x
  2. Step 2: Convert to fraction form
    392,546/847,300 = 847,300/x
  3. Step 3: Cross multiply
    392,546x = 847,300 × 847,300
  4. Step 4: Simplify right side
    392,546x = 717,917,290,000
  5. Step 5: Solve for x
    x = 717,917,290,000/392,546
  6. Step 6: Final answer
    x = 1,828,874.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.