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Finding the Third Proportional to 329,029.31 and 712,031.06

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Solution

The third proportional to 329,029.31 and 712,031.06 is: 1,540,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,029.31 : 712,031.06 = 712,031.06 : x
  2. Step 2: Convert to fraction form
    329,029.31/712,031.06 = 712,031.06/x
  3. Step 3: Cross multiply
    329,029.31x = 712,031.06 × 712,031.06
  4. Step 4: Simplify right side
    329,029.31x = 506,988,233,964.88
  5. Step 5: Solve for x
    x = 506,988,233,964.88/329,029.31
  6. Step 6: Final answer
    x = 1,540,860.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.