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Finding the Third Proportional to 343,521 and 737,910

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Solution

The third proportional to 343,521 and 737,910 is: 1,585,088.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,521 : 737,910 = 737,910 : x
  2. Step 2: Convert to fraction form
    343,521/737,910 = 737,910/x
  3. Step 3: Cross multiply
    343,521x = 737,910 × 737,910
  4. Step 4: Simplify right side
    343,521x = 544,511,168,100
  5. Step 5: Solve for x
    x = 544,511,168,100/343,521
  6. Step 6: Final answer
    x = 1,585,088.45

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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.