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Finding the Third Proportional to 294,564 and 467,178

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Solution

The third proportional to 294,564 and 467,178 is: 740,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,564 : 467,178 = 467,178 : x
  2. Step 2: Convert to fraction form
    294,564/467,178 = 467,178/x
  3. Step 3: Cross multiply
    294,564x = 467,178 × 467,178
  4. Step 4: Simplify right side
    294,564x = 218,255,283,684
  5. Step 5: Solve for x
    x = 218,255,283,684/294,564
  6. Step 6: Final answer
    x = 740,943.51

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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.