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Finding the Third Proportional to 358,996 and 729,764

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Solution

The third proportional to 358,996 and 729,764 is: 1,483,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,996 : 729,764 = 729,764 : x
  2. Step 2: Convert to fraction form
    358,996/729,764 = 729,764/x
  3. Step 3: Cross multiply
    358,996x = 729,764 × 729,764
  4. Step 4: Simplify right side
    358,996x = 532,555,495,696
  5. Step 5: Solve for x
    x = 532,555,495,696/358,996
  6. Step 6: Final answer
    x = 1,483,458.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.