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Finding the Third Proportional to 323,651 and 660,154

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Solution

The third proportional to 323,651 and 660,154 is: 1,346,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,651 : 660,154 = 660,154 : x
  2. Step 2: Convert to fraction form
    323,651/660,154 = 660,154/x
  3. Step 3: Cross multiply
    323,651x = 660,154 × 660,154
  4. Step 4: Simplify right side
    323,651x = 435,803,303,716
  5. Step 5: Solve for x
    x = 435,803,303,716/323,651
  6. Step 6: Final answer
    x = 1,346,522.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.