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Finding the Third Proportional to 325,426 and 492,730

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Solution

The third proportional to 325,426 and 492,730 is: 746,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,426 : 492,730 = 492,730 : x
  2. Step 2: Convert to fraction form
    325,426/492,730 = 492,730/x
  3. Step 3: Cross multiply
    325,426x = 492,730 × 492,730
  4. Step 4: Simplify right side
    325,426x = 242,782,852,900
  5. Step 5: Solve for x
    x = 242,782,852,900/325,426
  6. Step 6: Final answer
    x = 746,046.27

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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.