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Finding the Third Proportional to 446,574 and 669,942

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Solution

The third proportional to 446,574 and 669,942 is: 1,005,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,574 : 669,942 = 669,942 : x
  2. Step 2: Convert to fraction form
    446,574/669,942 = 669,942/x
  3. Step 3: Cross multiply
    446,574x = 669,942 × 669,942
  4. Step 4: Simplify right side
    446,574x = 448,822,283,364
  5. Step 5: Solve for x
    x = 448,822,283,364/446,574
  6. Step 6: Final answer
    x = 1,005,034.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.