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Finding the Third Proportional to 294,476 and 467,028

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Solution

The third proportional to 294,476 and 467,028 is: 740,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,476 : 467,028 = 467,028 : x
  2. Step 2: Convert to fraction form
    294,476/467,028 = 467,028/x
  3. Step 3: Cross multiply
    294,476x = 467,028 × 467,028
  4. Step 4: Simplify right side
    294,476x = 218,115,152,784
  5. Step 5: Solve for x
    x = 218,115,152,784/294,476
  6. Step 6: Final answer
    x = 740,689.06

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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.