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Finding the Third Proportional to 174,732 and 410,718

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Solution

The third proportional to 174,732 and 410,718 is: 965,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,732 : 410,718 = 410,718 : x
  2. Step 2: Convert to fraction form
    174,732/410,718 = 410,718/x
  3. Step 3: Cross multiply
    174,732x = 410,718 × 410,718
  4. Step 4: Simplify right side
    174,732x = 168,689,275,524
  5. Step 5: Solve for x
    x = 168,689,275,524/174,732
  6. Step 6: Final answer
    x = 965,417.18

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.