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Finding the Third Proportional to 323,446 and 463,148

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Solution

The third proportional to 323,446 and 463,148 is: 663,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,446 : 463,148 = 463,148 : x
  2. Step 2: Convert to fraction form
    323,446/463,148 = 463,148/x
  3. Step 3: Cross multiply
    323,446x = 463,148 × 463,148
  4. Step 4: Simplify right side
    323,446x = 214,506,069,904
  5. Step 5: Solve for x
    x = 214,506,069,904/323,446
  6. Step 6: Final answer
    x = 663,189.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.