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Finding the Third Proportional to 294,749.63 and 444,925.88

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Solution

The third proportional to 294,749.63 and 444,925.88 is: 671,617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,749.63 : 444,925.88 = 444,925.88 : x
  2. Step 2: Convert to fraction form
    294,749.63/444,925.88 = 444,925.88/x
  3. Step 3: Cross multiply
    294,749.63x = 444,925.88 × 444,925.88
  4. Step 4: Simplify right side
    294,749.63x = 197,959,034,244.52
  5. Step 5: Solve for x
    x = 197,959,034,244.52/294,749.63
  6. Step 6: Final answer
    x = 671,617.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.