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Finding the Third Proportional to 305,964 and 662,764

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Solution

The third proportional to 305,964 and 662,764 is: 1,435,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,964 : 662,764 = 662,764 : x
  2. Step 2: Convert to fraction form
    305,964/662,764 = 662,764/x
  3. Step 3: Cross multiply
    305,964x = 662,764 × 662,764
  4. Step 4: Simplify right side
    305,964x = 439,256,119,696
  5. Step 5: Solve for x
    x = 439,256,119,696/305,964
  6. Step 6: Final answer
    x = 1,435,646.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.