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Finding the Third Proportional to 253,459.50 and 392,321.75

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Solution

The third proportional to 253,459.50 and 392,321.75 is: 607,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,459.50 : 392,321.75 = 392,321.75 : x
  2. Step 2: Convert to fraction form
    253,459.50/392,321.75 = 392,321.75/x
  3. Step 3: Cross multiply
    253,459.50x = 392,321.75 × 392,321.75
  4. Step 4: Simplify right side
    253,459.50x = 153,916,355,523.06
  5. Step 5: Solve for x
    x = 153,916,355,523.06/253,459.50
  6. Step 6: Final answer
    x = 607,262.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.