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Finding the Third Proportional to 329,020 and 707,948

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Solution

The third proportional to 329,020 and 707,948 is: 1,523,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,020 : 707,948 = 707,948 : x
  2. Step 2: Convert to fraction form
    329,020/707,948 = 707,948/x
  3. Step 3: Cross multiply
    329,020x = 707,948 × 707,948
  4. Step 4: Simplify right side
    329,020x = 501,190,370,704
  5. Step 5: Solve for x
    x = 501,190,370,704/329,020
  6. Step 6: Final answer
    x = 1,523,282.39

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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.