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Finding the Third Proportional to 350,599 and 767,536

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Solution

The third proportional to 350,599 and 767,536 is: 1,680,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,599 : 767,536 = 767,536 : x
  2. Step 2: Convert to fraction form
    350,599/767,536 = 767,536/x
  3. Step 3: Cross multiply
    350,599x = 767,536 × 767,536
  4. Step 4: Simplify right side
    350,599x = 589,111,511,296
  5. Step 5: Solve for x
    x = 589,111,511,296/350,599
  6. Step 6: Final answer
    x = 1,680,300.03

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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.