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Finding the Third Proportional to 429,352 and 943,696

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Solution

The third proportional to 429,352 and 943,696 is: 2,074,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,352 : 943,696 = 943,696 : x
  2. Step 2: Convert to fraction form
    429,352/943,696 = 943,696/x
  3. Step 3: Cross multiply
    429,352x = 943,696 × 943,696
  4. Step 4: Simplify right side
    429,352x = 890,562,140,416
  5. Step 5: Solve for x
    x = 890,562,140,416/429,352
  6. Step 6: Final answer
    x = 2,074,200.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.