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Finding the Third Proportional to 509,695.03 and 1,097,496.84

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Solution

The third proportional to 509,695.03 and 1,097,496.84 is: 2,363,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,695.03 : 1,097,496.84 = 1,097,496.84 : x
  2. Step 2: Convert to fraction form
    509,695.03/1,097,496.84 = 1,097,496.84/x
  3. Step 3: Cross multiply
    509,695.03x = 1,097,496.84 × 1,097,496.84
  4. Step 4: Simplify right side
    509,695.03x = 1,204,499,322,041.21
  5. Step 5: Solve for x
    x = 1,204,499,322,041.21/509,695.03
  6. Step 6: Final answer
    x = 2,363,176.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.