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Finding the Third Proportional to 357,398 and 733,822

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Solution

The third proportional to 357,398 and 733,822 is: 1,506,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,398 : 733,822 = 733,822 : x
  2. Step 2: Convert to fraction form
    357,398/733,822 = 733,822/x
  3. Step 3: Cross multiply
    357,398x = 733,822 × 733,822
  4. Step 4: Simplify right side
    357,398x = 538,494,727,684
  5. Step 5: Solve for x
    x = 538,494,727,684/357,398
  6. Step 6: Final answer
    x = 1,506,708.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.