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Finding the Third Proportional to 343,516 and 732,689

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Solution

The third proportional to 343,516 and 732,689 is: 1,562,760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,516 : 732,689 = 732,689 : x
  2. Step 2: Convert to fraction form
    343,516/732,689 = 732,689/x
  3. Step 3: Cross multiply
    343,516x = 732,689 × 732,689
  4. Step 4: Simplify right side
    343,516x = 536,833,170,721
  5. Step 5: Solve for x
    x = 536,833,170,721/343,516
  6. Step 6: Final answer
    x = 1,562,760.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.