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Finding the Third Proportional to 324,545 and 711,367

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Solution

The third proportional to 324,545 and 711,367 is: 1,559,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,545 : 711,367 = 711,367 : x
  2. Step 2: Convert to fraction form
    324,545/711,367 = 711,367/x
  3. Step 3: Cross multiply
    324,545x = 711,367 × 711,367
  4. Step 4: Simplify right side
    324,545x = 506,043,008,689
  5. Step 5: Solve for x
    x = 506,043,008,689/324,545
  6. Step 6: Final answer
    x = 1,559,238.35

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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.