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Finding the Third Proportional to 293,485.78 and 466,853.63

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Solution

The third proportional to 293,485.78 and 466,853.63 is: 742,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,485.78 : 466,853.63 = 466,853.63 : x
  2. Step 2: Convert to fraction form
    293,485.78/466,853.63 = 466,853.63/x
  3. Step 3: Cross multiply
    293,485.78x = 466,853.63 × 466,853.63
  4. Step 4: Simplify right side
    293,485.78x = 217,952,307,175.64
  5. Step 5: Solve for x
    x = 217,952,307,175.64/293,485.78
  6. Step 6: Final answer
    x = 742,633.28

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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.