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Finding the Third Proportional to 536,460.47 and 751,959.28

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Solution

The third proportional to 536,460.47 and 751,959.28 is: 1,054,025.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,460.47 : 751,959.28 = 751,959.28 : x
  2. Step 2: Convert to fraction form
    536,460.47/751,959.28 = 751,959.28/x
  3. Step 3: Cross multiply
    536,460.47x = 751,959.28 × 751,959.28
  4. Step 4: Simplify right side
    536,460.47x = 565,442,760,658.02
  5. Step 5: Solve for x
    x = 565,442,760,658.02/536,460.47
  6. Step 6: Final answer
    x = 1,054,025.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.