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Finding the Third Proportional to 268,623 and 365,034

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Solution

The third proportional to 268,623 and 365,034 is: 496,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,623 : 365,034 = 365,034 : x
  2. Step 2: Convert to fraction form
    268,623/365,034 = 365,034/x
  3. Step 3: Cross multiply
    268,623x = 365,034 × 365,034
  4. Step 4: Simplify right side
    268,623x = 133,249,821,156
  5. Step 5: Solve for x
    x = 133,249,821,156/268,623
  6. Step 6: Final answer
    x = 496,047.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.