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Finding the Third Proportional to 294,426 and 466,982

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Solution

The third proportional to 294,426 and 466,982 is: 740,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,426 : 466,982 = 466,982 : x
  2. Step 2: Convert to fraction form
    294,426/466,982 = 466,982/x
  3. Step 3: Cross multiply
    294,426x = 466,982 × 466,982
  4. Step 4: Simplify right side
    294,426x = 218,072,188,324
  5. Step 5: Solve for x
    x = 218,072,188,324/294,426
  6. Step 6: Final answer
    x = 740,668.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.