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Finding the Third Proportional to 488,308.50 and 746,536.50

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Solution

The third proportional to 488,308.50 and 746,536.50 is: 1,141,321.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,308.50 : 746,536.50 = 746,536.50 : x
  2. Step 2: Convert to fraction form
    488,308.50/746,536.50 = 746,536.50/x
  3. Step 3: Cross multiply
    488,308.50x = 746,536.50 × 746,536.50
  4. Step 4: Simplify right side
    488,308.50x = 557,316,745,832.25
  5. Step 5: Solve for x
    x = 557,316,745,832.25/488,308.50
  6. Step 6: Final answer
    x = 1,141,321.00

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.