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Finding the Third Proportional to 431,516 and 957,352

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Solution

The third proportional to 431,516 and 957,352 is: 2,123,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,516 : 957,352 = 957,352 : x
  2. Step 2: Convert to fraction form
    431,516/957,352 = 957,352/x
  3. Step 3: Cross multiply
    431,516x = 957,352 × 957,352
  4. Step 4: Simplify right side
    431,516x = 916,522,851,904
  5. Step 5: Solve for x
    x = 916,522,851,904/431,516
  6. Step 6: Final answer
    x = 2,123,960.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.