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Finding the Third Proportional to 359,928 and 787,653

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Solution

The third proportional to 359,928 and 787,653 is: 1,723,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,928 : 787,653 = 787,653 : x
  2. Step 2: Convert to fraction form
    359,928/787,653 = 787,653/x
  3. Step 3: Cross multiply
    359,928x = 787,653 × 787,653
  4. Step 4: Simplify right side
    359,928x = 620,397,248,409
  5. Step 5: Solve for x
    x = 620,397,248,409/359,928
  6. Step 6: Final answer
    x = 1,723,670.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.