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Finding the Third Proportional to 350,784 and 771,552

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Solution

The third proportional to 350,784 and 771,552 is: 1,697,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,784 : 771,552 = 771,552 : x
  2. Step 2: Convert to fraction form
    350,784/771,552 = 771,552/x
  3. Step 3: Cross multiply
    350,784x = 771,552 × 771,552
  4. Step 4: Simplify right side
    350,784x = 595,292,488,704
  5. Step 5: Solve for x
    x = 595,292,488,704/350,784
  6. Step 6: Final answer
    x = 1,697,034.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.