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Finding the Third Proportional to 334,530 and 721,548

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Solution

The third proportional to 334,530 and 721,548 is: 1,556,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,530 : 721,548 = 721,548 : x
  2. Step 2: Convert to fraction form
    334,530/721,548 = 721,548/x
  3. Step 3: Cross multiply
    334,530x = 721,548 × 721,548
  4. Step 4: Simplify right side
    334,530x = 520,631,516,304
  5. Step 5: Solve for x
    x = 520,631,516,304/334,530
  6. Step 6: Final answer
    x = 1,556,307.41

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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.