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Finding the Third Proportional to 245,396 and 366,628

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Solution

The third proportional to 245,396 and 366,628 is: 547,751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,396 : 366,628 = 366,628 : x
  2. Step 2: Convert to fraction form
    245,396/366,628 = 366,628/x
  3. Step 3: Cross multiply
    245,396x = 366,628 × 366,628
  4. Step 4: Simplify right side
    245,396x = 134,416,090,384
  5. Step 5: Solve for x
    x = 134,416,090,384/245,396
  6. Step 6: Final answer
    x = 547,751.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.