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Finding the Third Proportional to 359,885 and 769,585

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Solution

The third proportional to 359,885 and 769,585 is: 1,645,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,885 : 769,585 = 769,585 : x
  2. Step 2: Convert to fraction form
    359,885/769,585 = 769,585/x
  3. Step 3: Cross multiply
    359,885x = 769,585 × 769,585
  4. Step 4: Simplify right side
    359,885x = 592,261,072,225
  5. Step 5: Solve for x
    x = 592,261,072,225/359,885
  6. Step 6: Final answer
    x = 1,645,695.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.