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Finding the Third Proportional to 317,049.19 and 491,486.06

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Solution

The third proportional to 317,049.19 and 491,486.06 is: 761,896.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,049.19 : 491,486.06 = 491,486.06 : x
  2. Step 2: Convert to fraction form
    317,049.19/491,486.06 = 491,486.06/x
  3. Step 3: Cross multiply
    317,049.19x = 491,486.06 × 491,486.06
  4. Step 4: Simplify right side
    317,049.19x = 241,558,549,631.75
  5. Step 5: Solve for x
    x = 241,558,549,631.75/317,049.19
  6. Step 6: Final answer
    x = 761,896.13

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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.