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Finding the Third Proportional to 337,137 and 767,808

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Solution

The third proportional to 337,137 and 767,808 is: 1,748,633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,137 : 767,808 = 767,808 : x
  2. Step 2: Convert to fraction form
    337,137/767,808 = 767,808/x
  3. Step 3: Cross multiply
    337,137x = 767,808 × 767,808
  4. Step 4: Simplify right side
    337,137x = 589,529,124,864
  5. Step 5: Solve for x
    x = 589,529,124,864/337,137
  6. Step 6: Final answer
    x = 1,748,633.72

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.