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Finding the Third Proportional to 324,662 and 711,590

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Solution

The third proportional to 324,662 and 711,590 is: 1,559,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,662 : 711,590 = 711,590 : x
  2. Step 2: Convert to fraction form
    324,662/711,590 = 711,590/x
  3. Step 3: Cross multiply
    324,662x = 711,590 × 711,590
  4. Step 4: Simplify right side
    324,662x = 506,360,328,100
  5. Step 5: Solve for x
    x = 506,360,328,100/324,662
  6. Step 6: Final answer
    x = 1,559,653.82

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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.