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Finding the Third Proportional to 205,539 and 448,330.50

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Solution

The third proportional to 205,539 and 448,330.50 is: 977,917.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,539 : 448,330.50 = 448,330.50 : x
  2. Step 2: Convert to fraction form
    205,539/448,330.50 = 448,330.50/x
  3. Step 3: Cross multiply
    205,539x = 448,330.50 × 448,330.50
  4. Step 4: Simplify right side
    205,539x = 201,000,237,230.25
  5. Step 5: Solve for x
    x = 201,000,237,230.25/205,539
  6. Step 6: Final answer
    x = 977,917.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.