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Finding the Third Proportional to 429,598.50 and 848,352

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Solution

The third proportional to 429,598.50 and 848,352 is: 1,675,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,598.50 : 848,352 = 848,352 : x
  2. Step 2: Convert to fraction form
    429,598.50/848,352 = 848,352/x
  3. Step 3: Cross multiply
    429,598.50x = 848,352 × 848,352
  4. Step 4: Simplify right side
    429,598.50x = 719,701,115,904
  5. Step 5: Solve for x
    x = 719,701,115,904/429,598.50
  6. Step 6: Final answer
    x = 1,675,287.78

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.