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Finding the Third Proportional to 355,023 and 766,908

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Solution

The third proportional to 355,023 and 766,908 is: 1,656,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,023 : 766,908 = 766,908 : x
  2. Step 2: Convert to fraction form
    355,023/766,908 = 766,908/x
  3. Step 3: Cross multiply
    355,023x = 766,908 × 766,908
  4. Step 4: Simplify right side
    355,023x = 588,147,880,464
  5. Step 5: Solve for x
    x = 588,147,880,464/355,023
  6. Step 6: Final answer
    x = 1,656,647.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.