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Finding the Third Proportional to 207,561 and 456,594

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Solution

The third proportional to 207,561 and 456,594 is: 1,004,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,561 : 456,594 = 456,594 : x
  2. Step 2: Convert to fraction form
    207,561/456,594 = 456,594/x
  3. Step 3: Cross multiply
    207,561x = 456,594 × 456,594
  4. Step 4: Simplify right side
    207,561x = 208,478,080,836
  5. Step 5: Solve for x
    x = 208,478,080,836/207,561
  6. Step 6: Final answer
    x = 1,004,418.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.