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Finding the Third Proportional to 402,478.50 and 544,668

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Solution

The third proportional to 402,478.50 and 544,668 is: 737,090.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,478.50 : 544,668 = 544,668 : x
  2. Step 2: Convert to fraction form
    402,478.50/544,668 = 544,668/x
  3. Step 3: Cross multiply
    402,478.50x = 544,668 × 544,668
  4. Step 4: Simplify right side
    402,478.50x = 296,663,230,224
  5. Step 5: Solve for x
    x = 296,663,230,224/402,478.50
  6. Step 6: Final answer
    x = 737,090.88

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.