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Finding the Third Proportional to 296,876,025 and 402,739,233

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Solution

The third proportional to 296,876,025 and 402,739,233 is: 546,352,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,876,025 : 402,739,233 = 402,739,233 : x
  2. Step 2: Convert to fraction form
    296,876,025/402,739,233 = 402,739,233/x
  3. Step 3: Cross multiply
    296,876,025x = 402,739,233 × 402,739,233
  4. Step 4: Simplify right side
    296,876,025x = 162,198,889,797,428,288
  5. Step 5: Solve for x
    x = 162,198,889,797,428,288/296,876,025
  6. Step 6: Final answer
    x = 546,352,268.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.