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Finding the Third Proportional to 350,606 and 767,554

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Solution

The third proportional to 350,606 and 767,554 is: 1,680,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,606 : 767,554 = 767,554 : x
  2. Step 2: Convert to fraction form
    350,606/767,554 = 767,554/x
  3. Step 3: Cross multiply
    350,606x = 767,554 × 767,554
  4. Step 4: Simplify right side
    350,606x = 589,139,142,916
  5. Step 5: Solve for x
    x = 589,139,142,916/350,606
  6. Step 6: Final answer
    x = 1,680,345.30

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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.