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Finding the Third Proportional to 336,106 and 738,464

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Solution

The third proportional to 336,106 and 738,464 is: 1,622,491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,106 : 738,464 = 738,464 : x
  2. Step 2: Convert to fraction form
    336,106/738,464 = 738,464/x
  3. Step 3: Cross multiply
    336,106x = 738,464 × 738,464
  4. Step 4: Simplify right side
    336,106x = 545,329,079,296
  5. Step 5: Solve for x
    x = 545,329,079,296/336,106
  6. Step 6: Final answer
    x = 1,622,491.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.