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Finding the Third Proportional to 245,590 and 542,797

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Solution

The third proportional to 245,590 and 542,797 is: 1,199,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,590 : 542,797 = 542,797 : x
  2. Step 2: Convert to fraction form
    245,590/542,797 = 542,797/x
  3. Step 3: Cross multiply
    245,590x = 542,797 × 542,797
  4. Step 4: Simplify right side
    245,590x = 294,628,583,209
  5. Step 5: Solve for x
    x = 294,628,583,209/245,590
  6. Step 6: Final answer
    x = 1,199,676.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.