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Finding the Third Proportional to 254,383.50 and 402,717

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Solution

The third proportional to 254,383.50 and 402,717 is: 637,545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,383.50 : 402,717 = 402,717 : x
  2. Step 2: Convert to fraction form
    254,383.50/402,717 = 402,717/x
  3. Step 3: Cross multiply
    254,383.50x = 402,717 × 402,717
  4. Step 4: Simplify right side
    254,383.50x = 162,180,982,089
  5. Step 5: Solve for x
    x = 162,180,982,089/254,383.50
  6. Step 6: Final answer
    x = 637,545.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.