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Finding the Third Proportional to 294,344 and 466,392

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Solution

The third proportional to 294,344 and 466,392 is: 739,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,344 : 466,392 = 466,392 : x
  2. Step 2: Convert to fraction form
    294,344/466,392 = 466,392/x
  3. Step 3: Cross multiply
    294,344x = 466,392 × 466,392
  4. Step 4: Simplify right side
    294,344x = 217,521,497,664
  5. Step 5: Solve for x
    x = 217,521,497,664/294,344
  6. Step 6: Final answer
    x = 739,004.35

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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.