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Finding the Third Proportional to 355,026 and 766,914

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Solution

The third proportional to 355,026 and 766,914 is: 1,656,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,026 : 766,914 = 766,914 : x
  2. Step 2: Convert to fraction form
    355,026/766,914 = 766,914/x
  3. Step 3: Cross multiply
    355,026x = 766,914 × 766,914
  4. Step 4: Simplify right side
    355,026x = 588,157,083,396
  5. Step 5: Solve for x
    x = 588,157,083,396/355,026
  6. Step 6: Final answer
    x = 1,656,659.18

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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.