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Finding the Third Proportional to 329,018.63 and 707,001.75

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Solution

The third proportional to 329,018.63 and 707,001.75 is: 1,519,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,018.63 : 707,001.75 = 707,001.75 : x
  2. Step 2: Convert to fraction form
    329,018.63/707,001.75 = 707,001.75/x
  3. Step 3: Cross multiply
    329,018.63x = 707,001.75 × 707,001.75
  4. Step 4: Simplify right side
    329,018.63x = 499,851,474,503.06
  5. Step 5: Solve for x
    x = 499,851,474,503.06/329,018.63
  6. Step 6: Final answer
    x = 1,519,219.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.