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Finding the Third Proportional to 294,401 and 655,411

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Solution

The third proportional to 294,401 and 655,411 is: 1,459,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,401 : 655,411 = 655,411 : x
  2. Step 2: Convert to fraction form
    294,401/655,411 = 655,411/x
  3. Step 3: Cross multiply
    294,401x = 655,411 × 655,411
  4. Step 4: Simplify right side
    294,401x = 429,563,578,921
  5. Step 5: Solve for x
    x = 429,563,578,921/294,401
  6. Step 6: Final answer
    x = 1,459,110.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.