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Finding the Third Proportional to 442,816 and 669,466

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Solution

The third proportional to 442,816 and 669,466 is: 1,012,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,816 : 669,466 = 669,466 : x
  2. Step 2: Convert to fraction form
    442,816/669,466 = 669,466/x
  3. Step 3: Cross multiply
    442,816x = 669,466 × 669,466
  4. Step 4: Simplify right side
    442,816x = 448,184,725,156
  5. Step 5: Solve for x
    x = 448,184,725,156/442,816
  6. Step 6: Final answer
    x = 1,012,124.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.