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Finding the Third Proportional to 262,032,349 and 560,874,014

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Solution

The third proportional to 262,032,349 and 560,874,014 is: 1,200,537,493.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,032,349 : 560,874,014 = 560,874,014 : x
  2. Step 2: Convert to fraction form
    262,032,349/560,874,014 = 560,874,014/x
  3. Step 3: Cross multiply
    262,032,349x = 560,874,014 × 560,874,014
  4. Step 4: Simplify right side
    262,032,349x = 314,579,659,580,472,192
  5. Step 5: Solve for x
    x = 314,579,659,580,472,192/262,032,349
  6. Step 6: Final answer
    x = 1,200,537,493.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.