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Finding the Third Proportional to 334,570 and 721,676

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Solution

The third proportional to 334,570 and 721,676 is: 1,556,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,570 : 721,676 = 721,676 : x
  2. Step 2: Convert to fraction form
    334,570/721,676 = 721,676/x
  3. Step 3: Cross multiply
    334,570x = 721,676 × 721,676
  4. Step 4: Simplify right side
    334,570x = 520,816,248,976
  5. Step 5: Solve for x
    x = 520,816,248,976/334,570
  6. Step 6: Final answer
    x = 1,556,673.49

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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.