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Finding the Third Proportional to 392,308 and 846,816

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Solution

The third proportional to 392,308 and 846,816 is: 1,827,893.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,308 : 846,816 = 846,816 : x
  2. Step 2: Convert to fraction form
    392,308/846,816 = 846,816/x
  3. Step 3: Cross multiply
    392,308x = 846,816 × 846,816
  4. Step 4: Simplify right side
    392,308x = 717,097,337,856
  5. Step 5: Solve for x
    x = 717,097,337,856/392,308
  6. Step 6: Final answer
    x = 1,827,893.74

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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.