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Finding the Third Proportional to 210,550 and 456,571

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Solution

The third proportional to 210,550 and 456,571 is: 990,059.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,550 : 456,571 = 456,571 : x
  2. Step 2: Convert to fraction form
    210,550/456,571 = 456,571/x
  3. Step 3: Cross multiply
    210,550x = 456,571 × 456,571
  4. Step 4: Simplify right side
    210,550x = 208,457,078,041
  5. Step 5: Solve for x
    x = 208,457,078,041/210,550
  6. Step 6: Final answer
    x = 990,059.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.