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Finding the Third Proportional to 379,340.50 and 812,802.50

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Solution

The third proportional to 379,340.50 and 812,802.50 is: 1,741,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,340.50 : 812,802.50 = 812,802.50 : x
  2. Step 2: Convert to fraction form
    379,340.50/812,802.50 = 812,802.50/x
  3. Step 3: Cross multiply
    379,340.50x = 812,802.50 × 812,802.50
  4. Step 4: Simplify right side
    379,340.50x = 660,647,904,006.25
  5. Step 5: Solve for x
    x = 660,647,904,006.25/379,340.50
  6. Step 6: Final answer
    x = 1,741,569.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.