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Finding the Third Proportional to 392,248 and 846,704

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Solution

The third proportional to 392,248 and 846,704 is: 1,827,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,248 : 846,704 = 846,704 : x
  2. Step 2: Convert to fraction form
    392,248/846,704 = 846,704/x
  3. Step 3: Cross multiply
    392,248x = 846,704 × 846,704
  4. Step 4: Simplify right side
    392,248x = 716,907,663,616
  5. Step 5: Solve for x
    x = 716,907,663,616/392,248
  6. Step 6: Final answer
    x = 1,827,689.79

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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.