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Finding the Third Proportional to 284,406 and 428,409

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Solution

The third proportional to 284,406 and 428,409 is: 645,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,406 : 428,409 = 428,409 : x
  2. Step 2: Convert to fraction form
    284,406/428,409 = 428,409/x
  3. Step 3: Cross multiply
    284,406x = 428,409 × 428,409
  4. Step 4: Simplify right side
    284,406x = 183,534,271,281
  5. Step 5: Solve for x
    x = 183,534,271,281/284,406
  6. Step 6: Final answer
    x = 645,324.89

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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.