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Finding the Third Proportional to 229,968 and 487,764

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Solution

The third proportional to 229,968 and 487,764 is: 1,034,551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,968 : 487,764 = 487,764 : x
  2. Step 2: Convert to fraction form
    229,968/487,764 = 487,764/x
  3. Step 3: Cross multiply
    229,968x = 487,764 × 487,764
  4. Step 4: Simplify right side
    229,968x = 237,913,719,696
  5. Step 5: Solve for x
    x = 237,913,719,696/229,968
  6. Step 6: Final answer
    x = 1,034,551.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.