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Finding the Third Proportional to 497,516 and 789,058

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Solution

The third proportional to 497,516 and 789,058 is: 1,251,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,516 : 789,058 = 789,058 : x
  2. Step 2: Convert to fraction form
    497,516/789,058 = 789,058/x
  3. Step 3: Cross multiply
    497,516x = 789,058 × 789,058
  4. Step 4: Simplify right side
    497,516x = 622,612,527,364
  5. Step 5: Solve for x
    x = 622,612,527,364/497,516
  6. Step 6: Final answer
    x = 1,251,442.22

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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.