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Finding the Third Proportional to 359,768 and 773,966

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Solution

The third proportional to 359,768 and 773,966 is: 1,665,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,768 : 773,966 = 773,966 : x
  2. Step 2: Convert to fraction form
    359,768/773,966 = 773,966/x
  3. Step 3: Cross multiply
    359,768x = 773,966 × 773,966
  4. Step 4: Simplify right side
    359,768x = 599,023,369,156
  5. Step 5: Solve for x
    x = 599,023,369,156/359,768
  6. Step 6: Final answer
    x = 1,665,026.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.