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Finding the Third Proportional to 343,359 and 726,084

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Solution

The third proportional to 343,359 and 726,084 is: 1,535,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,359 : 726,084 = 726,084 : x
  2. Step 2: Convert to fraction form
    343,359/726,084 = 726,084/x
  3. Step 3: Cross multiply
    343,359x = 726,084 × 726,084
  4. Step 4: Simplify right side
    343,359x = 527,197,975,056
  5. Step 5: Solve for x
    x = 527,197,975,056/343,359
  6. Step 6: Final answer
    x = 1,535,413.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.