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Finding the Third Proportional to 402,416 and 852,800

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Solution

The third proportional to 402,416 and 852,800 is: 1,807,253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,416 : 852,800 = 852,800 : x
  2. Step 2: Convert to fraction form
    402,416/852,800 = 852,800/x
  3. Step 3: Cross multiply
    402,416x = 852,800 × 852,800
  4. Step 4: Simplify right side
    402,416x = 727,267,840,000
  5. Step 5: Solve for x
    x = 727,267,840,000/402,416
  6. Step 6: Final answer
    x = 1,807,253.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.