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Finding the Third Proportional to 309,666 and 452,550

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Solution

The third proportional to 309,666 and 452,550 is: 661,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,666 : 452,550 = 452,550 : x
  2. Step 2: Convert to fraction form
    309,666/452,550 = 452,550/x
  3. Step 3: Cross multiply
    309,666x = 452,550 × 452,550
  4. Step 4: Simplify right side
    309,666x = 204,801,502,500
  5. Step 5: Solve for x
    x = 204,801,502,500/309,666
  6. Step 6: Final answer
    x = 661,362.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.