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Finding the Third Proportional to 350,607 and 767,953

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Solution

The third proportional to 350,607 and 767,953 is: 1,682,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,607 : 767,953 = 767,953 : x
  2. Step 2: Convert to fraction form
    350,607/767,953 = 767,953/x
  3. Step 3: Cross multiply
    350,607x = 767,953 × 767,953
  4. Step 4: Simplify right side
    350,607x = 589,751,810,209
  5. Step 5: Solve for x
    x = 589,751,810,209/350,607
  6. Step 6: Final answer
    x = 1,682,087.95

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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.