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Finding the Third Proportional to 260,798.91 and 556,044.47

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Solution

The third proportional to 260,798.91 and 556,044.47 is: 1,185,532.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,798.91 : 556,044.47 = 556,044.47 : x
  2. Step 2: Convert to fraction form
    260,798.91/556,044.47 = 556,044.47/x
  3. Step 3: Cross multiply
    260,798.91x = 556,044.47 × 556,044.47
  4. Step 4: Simplify right side
    260,798.91x = 309,185,451,227.47
  5. Step 5: Solve for x
    x = 309,185,451,227.47/260,798.91
  6. Step 6: Final answer
    x = 1,185,532.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.