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Finding the Third Proportional to 207,559 and 456,590

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Solution

The third proportional to 207,559 and 456,590 is: 1,004,410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,559 : 456,590 = 456,590 : x
  2. Step 2: Convert to fraction form
    207,559/456,590 = 456,590/x
  3. Step 3: Cross multiply
    207,559x = 456,590 × 456,590
  4. Step 4: Simplify right side
    207,559x = 208,474,428,100
  5. Step 5: Solve for x
    x = 208,474,428,100/207,559
  6. Step 6: Final answer
    x = 1,004,410.45

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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.