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Finding the Third Proportional to 350,040 and 767,856

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Solution

The third proportional to 350,040 and 767,856 is: 1,684,387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,040 : 767,856 = 767,856 : x
  2. Step 2: Convert to fraction form
    350,040/767,856 = 767,856/x
  3. Step 3: Cross multiply
    350,040x = 767,856 × 767,856
  4. Step 4: Simplify right side
    350,040x = 589,602,836,736
  5. Step 5: Solve for x
    x = 589,602,836,736/350,040
  6. Step 6: Final answer
    x = 1,684,387.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.