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Finding the Third Proportional to 385,650 and 798,111

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Solution

The third proportional to 385,650 and 798,111 is: 1,651,707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,650 : 798,111 = 798,111 : x
  2. Step 2: Convert to fraction form
    385,650/798,111 = 798,111/x
  3. Step 3: Cross multiply
    385,650x = 798,111 × 798,111
  4. Step 4: Simplify right side
    385,650x = 636,981,168,321
  5. Step 5: Solve for x
    x = 636,981,168,321/385,650
  6. Step 6: Final answer
    x = 1,651,707.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.