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Finding the Third Proportional to 324,399 and 711,951

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Solution

The third proportional to 324,399 and 711,951 is: 1,562,502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,399 : 711,951 = 711,951 : x
  2. Step 2: Convert to fraction form
    324,399/711,951 = 711,951/x
  3. Step 3: Cross multiply
    324,399x = 711,951 × 711,951
  4. Step 4: Simplify right side
    324,399x = 506,874,226,401
  5. Step 5: Solve for x
    x = 506,874,226,401/324,399
  6. Step 6: Final answer
    x = 1,562,502.43

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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.