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Finding the Third Proportional to 491,613 and 672,805.50

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Solution

The third proportional to 491,613 and 672,805.50 is: 920,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,613 : 672,805.50 = 672,805.50 : x
  2. Step 2: Convert to fraction form
    491,613/672,805.50 = 672,805.50/x
  3. Step 3: Cross multiply
    491,613x = 672,805.50 × 672,805.50
  4. Step 4: Simplify right side
    491,613x = 452,667,240,830.25
  5. Step 5: Solve for x
    x = 452,667,240,830.25/491,613
  6. Step 6: Final answer
    x = 920,779.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.