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Finding the Third Proportional to 324,793 and 708,607

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Solution

The third proportional to 324,793 and 708,607 is: 1,545,981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,793 : 708,607 = 708,607 : x
  2. Step 2: Convert to fraction form
    324,793/708,607 = 708,607/x
  3. Step 3: Cross multiply
    324,793x = 708,607 × 708,607
  4. Step 4: Simplify right side
    324,793x = 502,123,880,449
  5. Step 5: Solve for x
    x = 502,123,880,449/324,793
  6. Step 6: Final answer
    x = 1,545,981.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.