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Finding the Third Proportional to 338,521 and 737,762

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Solution

The third proportional to 338,521 and 737,762 is: 1,607,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,521 : 737,762 = 737,762 : x
  2. Step 2: Convert to fraction form
    338,521/737,762 = 737,762/x
  3. Step 3: Cross multiply
    338,521x = 737,762 × 737,762
  4. Step 4: Simplify right side
    338,521x = 544,292,768,644
  5. Step 5: Solve for x
    x = 544,292,768,644/338,521
  6. Step 6: Final answer
    x = 1,607,855.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.