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Finding the Third Proportional to 353,416.50 and 546,018.75

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Solution

The third proportional to 353,416.50 and 546,018.75 is: 843,583.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,416.50 : 546,018.75 = 546,018.75 : x
  2. Step 2: Convert to fraction form
    353,416.50/546,018.75 = 546,018.75/x
  3. Step 3: Cross multiply
    353,416.50x = 546,018.75 × 546,018.75
  4. Step 4: Simplify right side
    353,416.50x = 298,136,475,351.56
  5. Step 5: Solve for x
    x = 298,136,475,351.56/353,416.50
  6. Step 6: Final answer
    x = 843,583.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.