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Finding the Third Proportional to 329,044 and 718,312

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Solution

The third proportional to 329,044 and 718,312 is: 1,568,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,044 : 718,312 = 718,312 : x
  2. Step 2: Convert to fraction form
    329,044/718,312 = 718,312/x
  3. Step 3: Cross multiply
    329,044x = 718,312 × 718,312
  4. Step 4: Simplify right side
    329,044x = 515,972,129,344
  5. Step 5: Solve for x
    x = 515,972,129,344/329,044
  6. Step 6: Final answer
    x = 1,568,094.63

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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.