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Finding the Third Proportional to 497,514 and 789,056

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Solution

The third proportional to 497,514 and 789,056 is: 1,251,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,514 : 789,056 = 789,056 : x
  2. Step 2: Convert to fraction form
    497,514/789,056 = 789,056/x
  3. Step 3: Cross multiply
    497,514x = 789,056 × 789,056
  4. Step 4: Simplify right side
    497,514x = 622,609,371,136
  5. Step 5: Solve for x
    x = 622,609,371,136/497,514
  6. Step 6: Final answer
    x = 1,251,440.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.