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Finding the Third Proportional to 402,436 and 852,840

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Solution

The third proportional to 402,436 and 852,840 is: 1,807,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,436 : 852,840 = 852,840 : x
  2. Step 2: Convert to fraction form
    402,436/852,840 = 852,840/x
  3. Step 3: Cross multiply
    402,436x = 852,840 × 852,840
  4. Step 4: Simplify right side
    402,436x = 727,336,065,600
  5. Step 5: Solve for x
    x = 727,336,065,600/402,436
  6. Step 6: Final answer
    x = 1,807,333.50

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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.