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Finding the Third Proportional to 174,720 and 410,368

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Solution

The third proportional to 174,720 and 410,368 is: 963,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,720 : 410,368 = 410,368 : x
  2. Step 2: Convert to fraction form
    174,720/410,368 = 410,368/x
  3. Step 3: Cross multiply
    174,720x = 410,368 × 410,368
  4. Step 4: Simplify right side
    174,720x = 168,401,895,424
  5. Step 5: Solve for x
    x = 168,401,895,424/174,720
  6. Step 6: Final answer
    x = 963,838.69

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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.