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Finding the Third Proportional to 229,964 and 502,678

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Solution

The third proportional to 229,964 and 502,678 is: 1,098,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,964 : 502,678 = 502,678 : x
  2. Step 2: Convert to fraction form
    229,964/502,678 = 502,678/x
  3. Step 3: Cross multiply
    229,964x = 502,678 × 502,678
  4. Step 4: Simplify right side
    229,964x = 252,685,171,684
  5. Step 5: Solve for x
    x = 252,685,171,684/229,964
  6. Step 6: Final answer
    x = 1,098,803.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.