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Finding the Third Proportional to 355,025 and 766,912

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Solution

The third proportional to 355,025 and 766,912 is: 1,656,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,025 : 766,912 = 766,912 : x
  2. Step 2: Convert to fraction form
    355,025/766,912 = 766,912/x
  3. Step 3: Cross multiply
    355,025x = 766,912 × 766,912
  4. Step 4: Simplify right side
    355,025x = 588,154,015,744
  5. Step 5: Solve for x
    x = 588,154,015,744/355,025
  6. Step 6: Final answer
    x = 1,656,655.21

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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.