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Finding the Third Proportional to 336,976 and 735,700

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Solution

The third proportional to 336,976 and 735,700 is: 1,606,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,976 : 735,700 = 735,700 : x
  2. Step 2: Convert to fraction form
    336,976/735,700 = 735,700/x
  3. Step 3: Cross multiply
    336,976x = 735,700 × 735,700
  4. Step 4: Simplify right side
    336,976x = 541,254,490,000
  5. Step 5: Solve for x
    x = 541,254,490,000/336,976
  6. Step 6: Final answer
    x = 1,606,210.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.