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Finding the Third Proportional to 318,047.63 and 491,841

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Solution

The third proportional to 318,047.63 and 491,841 is: 760,601.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,047.63 : 491,841 = 491,841 : x
  2. Step 2: Convert to fraction form
    318,047.63/491,841 = 491,841/x
  3. Step 3: Cross multiply
    318,047.63x = 491,841 × 491,841
  4. Step 4: Simplify right side
    318,047.63x = 241,907,569,281
  5. Step 5: Solve for x
    x = 241,907,569,281/318,047.63
  6. Step 6: Final answer
    x = 760,601.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.