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Finding the Third Proportional to 337,276 and 745,964

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Solution

The third proportional to 337,276 and 745,964 is: 1,649,872.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,276 : 745,964 = 745,964 : x
  2. Step 2: Convert to fraction form
    337,276/745,964 = 745,964/x
  3. Step 3: Cross multiply
    337,276x = 745,964 × 745,964
  4. Step 4: Simplify right side
    337,276x = 556,462,289,296
  5. Step 5: Solve for x
    x = 556,462,289,296/337,276
  6. Step 6: Final answer
    x = 1,649,872.18

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.