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Finding the Third Proportional to 353,929.50 and 465,489.28

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Solution

The third proportional to 353,929.50 and 465,489.28 is: 612,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,929.50 : 465,489.28 = 465,489.28 : x
  2. Step 2: Convert to fraction form
    353,929.50/465,489.28 = 465,489.28/x
  3. Step 3: Cross multiply
    353,929.50x = 465,489.28 × 465,489.28
  4. Step 4: Simplify right side
    353,929.50x = 216,680,270,958.64
  5. Step 5: Solve for x
    x = 216,680,270,958.64/353,929.50
  6. Step 6: Final answer
    x = 612,213.08

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.