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Finding the Third Proportional to 433,320 and 669,648

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Solution

The third proportional to 433,320 and 669,648 is: 1,034,866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,320 : 669,648 = 669,648 : x
  2. Step 2: Convert to fraction form
    433,320/669,648 = 669,648/x
  3. Step 3: Cross multiply
    433,320x = 669,648 × 669,648
  4. Step 4: Simplify right side
    433,320x = 448,428,443,904
  5. Step 5: Solve for x
    x = 448,428,443,904/433,320
  6. Step 6: Final answer
    x = 1,034,866.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.