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Finding the Third Proportional to 294,464 and 467,024

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Solution

The third proportional to 294,464 and 467,024 is: 740,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,464 : 467,024 = 467,024 : x
  2. Step 2: Convert to fraction form
    294,464/467,024 = 467,024/x
  3. Step 3: Cross multiply
    294,464x = 467,024 × 467,024
  4. Step 4: Simplify right side
    294,464x = 218,111,416,576
  5. Step 5: Solve for x
    x = 218,111,416,576/294,464
  6. Step 6: Final answer
    x = 740,706.56

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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.