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Finding the Third Proportional to 351,628 and 525,124

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Solution

The third proportional to 351,628 and 525,124 is: 784,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,628 : 525,124 = 525,124 : x
  2. Step 2: Convert to fraction form
    351,628/525,124 = 525,124/x
  3. Step 3: Cross multiply
    351,628x = 525,124 × 525,124
  4. Step 4: Simplify right side
    351,628x = 275,755,215,376
  5. Step 5: Solve for x
    x = 275,755,215,376/351,628
  6. Step 6: Final answer
    x = 784,224.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.