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Finding the Third Proportional to 364,461.75 and 539,518.50

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Solution

The third proportional to 364,461.75 and 539,518.50 is: 798,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,461.75 : 539,518.50 = 539,518.50 : x
  2. Step 2: Convert to fraction form
    364,461.75/539,518.50 = 539,518.50/x
  3. Step 3: Cross multiply
    364,461.75x = 539,518.50 × 539,518.50
  4. Step 4: Simplify right side
    364,461.75x = 291,080,211,842.25
  5. Step 5: Solve for x
    x = 291,080,211,842.25/364,461.75
  6. Step 6: Final answer
    x = 798,657.78

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.