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Finding the Third Proportional to 668,280 and 965,548

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Solution

The third proportional to 668,280 and 965,548 is: 1,395,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,280 : 965,548 = 965,548 : x
  2. Step 2: Convert to fraction form
    668,280/965,548 = 965,548/x
  3. Step 3: Cross multiply
    668,280x = 965,548 × 965,548
  4. Step 4: Simplify right side
    668,280x = 932,282,940,304
  5. Step 5: Solve for x
    x = 932,282,940,304/668,280
  6. Step 6: Final answer
    x = 1,395,048.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.