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Finding the Third Proportional to 350,076 and 767,922

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Solution

The third proportional to 350,076 and 767,922 is: 1,684,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,076 : 767,922 = 767,922 : x
  2. Step 2: Convert to fraction form
    350,076/767,922 = 767,922/x
  3. Step 3: Cross multiply
    350,076x = 767,922 × 767,922
  4. Step 4: Simplify right side
    350,076x = 589,704,198,084
  5. Step 5: Solve for x
    x = 589,704,198,084/350,076
  6. Step 6: Final answer
    x = 1,684,503.36

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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.