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Finding the Third Proportional to 286,354.50 and 595,971.75

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Solution

The third proportional to 286,354.50 and 595,971.75 is: 1,240,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,354.50 : 595,971.75 = 595,971.75 : x
  2. Step 2: Convert to fraction form
    286,354.50/595,971.75 = 595,971.75/x
  3. Step 3: Cross multiply
    286,354.50x = 595,971.75 × 595,971.75
  4. Step 4: Simplify right side
    286,354.50x = 355,182,326,798.06
  5. Step 5: Solve for x
    x = 355,182,326,798.06/286,354.50
  6. Step 6: Final answer
    x = 1,240,358.81

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.