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Finding the Third Proportional to 376,809 and 812,653.50

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Solution

The third proportional to 376,809 and 812,653.50 is: 1,752,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,809 : 812,653.50 = 812,653.50 : x
  2. Step 2: Convert to fraction form
    376,809/812,653.50 = 812,653.50/x
  3. Step 3: Cross multiply
    376,809x = 812,653.50 × 812,653.50
  4. Step 4: Simplify right side
    376,809x = 660,405,711,062.25
  5. Step 5: Solve for x
    x = 660,405,711,062.25/376,809
  6. Step 6: Final answer
    x = 1,752,627.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.