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Finding the Third Proportional to 429,456 and 914,352

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Solution

The third proportional to 429,456 and 914,352 is: 1,946,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,456 : 914,352 = 914,352 : x
  2. Step 2: Convert to fraction form
    429,456/914,352 = 914,352/x
  3. Step 3: Cross multiply
    429,456x = 914,352 × 914,352
  4. Step 4: Simplify right side
    429,456x = 836,039,579,904
  5. Step 5: Solve for x
    x = 836,039,579,904/429,456
  6. Step 6: Final answer
    x = 1,946,740.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.