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Finding the Third Proportional to 294,346 and 466,395

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Solution

The third proportional to 294,346 and 466,395 is: 739,008.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,346 : 466,395 = 466,395 : x
  2. Step 2: Convert to fraction form
    294,346/466,395 = 466,395/x
  3. Step 3: Cross multiply
    294,346x = 466,395 × 466,395
  4. Step 4: Simplify right side
    294,346x = 217,524,296,025
  5. Step 5: Solve for x
    x = 217,524,296,025/294,346
  6. Step 6: Final answer
    x = 739,008.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.