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Finding the Third Proportional to 343,527 and 737,922

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Solution

The third proportional to 343,527 and 737,922 is: 1,585,112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,527 : 737,922 = 737,922 : x
  2. Step 2: Convert to fraction form
    343,527/737,922 = 737,922/x
  3. Step 3: Cross multiply
    343,527x = 737,922 × 737,922
  4. Step 4: Simplify right side
    343,527x = 544,528,878,084
  5. Step 5: Solve for x
    x = 544,528,878,084/343,527
  6. Step 6: Final answer
    x = 1,585,112.31

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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.