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Finding the Third Proportional to 327,547 and 463,981

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Solution

The third proportional to 327,547 and 463,981 is: 657,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,547 : 463,981 = 463,981 : x
  2. Step 2: Convert to fraction form
    327,547/463,981 = 463,981/x
  3. Step 3: Cross multiply
    327,547x = 463,981 × 463,981
  4. Step 4: Simplify right side
    327,547x = 215,278,368,361
  5. Step 5: Solve for x
    x = 215,278,368,361/327,547
  6. Step 6: Final answer
    x = 657,244.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.