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Finding the Third Proportional to 281,350,442 and 424,965,657

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Solution

The third proportional to 281,350,442 and 424,965,657 is: 641,889,198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,350,442 : 424,965,657 = 424,965,657 : x
  2. Step 2: Convert to fraction form
    281,350,442/424,965,657 = 424,965,657/x
  3. Step 3: Cross multiply
    281,350,442x = 424,965,657 × 424,965,657
  4. Step 4: Simplify right side
    281,350,442x = 180,595,809,629,441,664
  5. Step 5: Solve for x
    x = 180,595,809,629,441,664/281,350,442
  6. Step 6: Final answer
    x = 641,889,198.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.