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Finding the Third Proportional to 363,554 and 760,516

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Solution

The third proportional to 363,554 and 760,516 is: 1,590,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,554 : 760,516 = 760,516 : x
  2. Step 2: Convert to fraction form
    363,554/760,516 = 760,516/x
  3. Step 3: Cross multiply
    363,554x = 760,516 × 760,516
  4. Step 4: Simplify right side
    363,554x = 578,384,586,256
  5. Step 5: Solve for x
    x = 578,384,586,256/363,554
  6. Step 6: Final answer
    x = 1,590,917.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.